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PDF
Chat
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The continuum limit of non-local follow-the-leader models
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2024
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Helge Holden
Nils Henrik Risebro
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PDF
Chat
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The Aubin-Lions-Dubinskii theorems on compactness in Bochner spaces
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2024
|
Harald Hanche-Olsen
Helge Holden
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PDF
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Well-posedness and error estimates for coupled systems of nonlocal conservation laws
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2024
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Aekta Aggarwal
Helge Holden
Ganesh Vaidya
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Global existence of dissipative solutions to the Camassa–Holm equation with transport noise
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2024
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Luca Galimberti
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
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On the accuracy of the finite volume approximations to nonlocal conservation laws
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2023
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Aekta Aggarwal
Helge Holden
Ganesh Vaidya
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+
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Well-posedness and error estimates for coupled systems of nonlocal conservation laws
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2023
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Aekta Aggarwal
Helge Holden
Ganesh Vaidya
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+
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The continuum limit of higher-order Follow-the-Leader models
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2023
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Helge Holden
Nils Henrik Risebro
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+
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Systems of nonlocal balance laws For Dense multilane vehicular traffic
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2023
|
Aekta Aggarwal
Helge Holden
Ganesh Vaidya
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PDF
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Global well-posedness of the viscous Camassa–Holm equation with gradient noise
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2022
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Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
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PDF
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Noise-driven bifurcations in a neural field system modelling networks of grid cells
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2022
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José A. Carrillo
Helge Holden
Susanne Solem
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Strong solutions of a stochastic differential equation with irregular random drift
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2022
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Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
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PDF
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On Angular Measures in Axiomatic Euclidean Planar Geometry
|
2022
|
Martin Grötschel
Harald Hanche-Olsen
Helge Holden
Michael Krystek
|
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PDF
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Uniqueness of conservative solutions for the Hunter–Saxton equation
|
2022
|
Katrin Grunert
Helge Holden
|
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+
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Global well-posedness of the viscous Camassa--Holm equation with gradient noise
|
2022
|
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
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+
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Global existence of dissipative solutions to the Camassa--Holm equation with transport noise
|
2022
|
Luca Galimberti
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
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+
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Uniqueness of conservative solutions for the Hunter-Saxton equation
|
2021
|
Katrin Grunert
Helge Holden
|
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+
PDF
Chat
|
Strong solutions of a stochastic differential equation with irregular
random drift
|
2021
|
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
|
+
PDF
Chat
|
Singular diffusion with Neumann boundary conditions
|
2021
|
Giuseppe Maria Coclite
Helge Holden
Nils Henrik Risebro
|
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+
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Noise-driven bifurcations in a neural field system modelling networks of grid cells
|
2021
|
José A. Carrillo
Helge Holden
Susanne Solem
|
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+
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Measuring angles in axiomatic Euclidean planar geometry
|
2020
|
Martin Grötschel
Harald Hanche-Olsen
Helge Holden
Michael Krystek
|
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+
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The Hunter–Saxton equation with noise
|
2020
|
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
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+
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Singular Diffusion with Neumann boundary conditions
|
2020
|
Giuseppe Maria Coclite
Helge Holden
Nils Henrik Risebro
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+
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The Hunter-Saxton equation with noise
|
2020
|
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
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+
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On The Microscopic Modeling of Vehicular Traffic on General Networks
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2020
|
Rinaldo M. Colombo
Helge Holden
Francesca Marcellini
|
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PDF
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A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION
|
2020
|
José A. Carrillo
Katrin Grunert
Helge Holden
|
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+
PDF
|
On the Microscopic Modeling of Vehicular Traffic on General Networks
|
2020
|
Rinaldo M. Colombo
Helge Holden
Francesca Marcellini
|
|
+
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The Hunter-Saxton equation with noise
|
2020
|
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
|
|
+
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On angular measures in axiomatic Euclidean planar geometry
|
2020
|
Martin Grötschel
Harald Hanche-Olsen
Helge Holden
Michael Krystek
|
|
+
|
Singular Diffusion with Neumann boundary conditions
|
2020
|
Giuseppe Maria Coclite
Helge Holden
Nils Henrik Risebro
|
|
+
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On The Microscopic Modeling of Vehicular Traffic on General Networks
|
2020
|
Rinaldo M. Colombo
Helge Holden
Francesca Marcellini
|
|
+
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A Lipschitz metric for the Camassa--Holm equation
|
2019
|
José A. Carrillo
Katrin Grunert
Helge Holden
|
|
+
PDF
|
A Lipschitz metric for the Hunter–Saxton equation
|
2019
|
José A. Carrillo
Katrin Grunert
Helge Holden
|
|
+
PDF
|
Models for Dense Multilane Vehicular Traffic
|
2019
|
Helge Holden
Nils Henrik Risebro
|
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+
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Models for dense multilane vehicular traffic.
|
2018
|
Helge Holden
Nils Henrik Risebro
|
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+
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An improvement of the Kolmogorov–Riesz compactness theorem
|
2018
|
Harald Hanche-Olsen
Helge Holden
Eugenia Malinnikova
|
|
+
PDF
Chat
|
On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System
|
2018
|
Markus Grasmair
Katrin Grunert
Helge Holden
|
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PDF
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Follow-the-Leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow
|
2018
|
Helge Holden
Nils Henrik Risebro
|
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+
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Models for dense multilane vehicular traffic
|
2018
|
Helge Holden
Nils Henrik Risebro
|
|
+
PDF
|
The continuum limit of Follow-the-Leader models — a short proof
|
2017
|
Helge Holden
Nils Henrik Risebro
|
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+
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The continuum limit of Follow-the-Leader models - a short proof
|
2017
|
Helge Holden
Nils Henrik Risebro
|
|
+
PDF
Chat
|
On the index of meromorphic operator-valued functions and some applications
|
2017
|
Jussi Behrndt
Fritz Gesztesy
Helge Holden
Roger Nichols
|
|
+
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Follow-the-Leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow
|
2017
|
Helge Holden
Nils Henrik Risebro
|
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+
PDF
|
Real-Valued Algebro-Geometric Solutions of the Two-Component Camassa–Holm Hierarchy
|
2017
|
Jonathan Eckhardt
Fritz Gesztesy
Helge Holden
Aleksey Kostenko
Gerald Teschl
|
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+
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Follow-the-Leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow
|
2017
|
Helge Holden
Nils Henrik Risebro
|
|
+
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The continuum limit of Follow-the-Leader models - a short proof
|
2017
|
Helge Holden
Nils Henrik Risebro
|
|
+
PDF
Chat
|
Isentropic fluid dynamics in a curved pipe
|
2016
|
Rinaldo M. Colombo
Helge Holden
|
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+
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Dirichlet-to-Neumann maps, abstract Weyl–Titchmarsh M-functions, and a generalized index of unbounded meromorphic operator-valued functions
|
2016
|
Jussi Behrndt
Fritz Gesztesy
Helge Holden
Roger Nichols
|
|
+
PDF
Chat
|
The general peakon–antipeakon solution for the Camassa–Holm equation
|
2016
|
Katrin Grunert
Helge Holden
|
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+
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Erratum to: On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions
|
2016
|
Fritz Gesztesy
Helge Holden
Roger Nichols
|
|
+
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Dirichlet-to-Neumann Maps, Abstract Weyl-Titchmarsh $M$-Functions, and a Generalized Index of Unbounded Meromorphic Operator-Valued Functions
|
2016
|
Jussi Behrndt
Fritz Gesztesy
Helge Holden
Roger Nichols
|
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+
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Addendum to “The Kolmogorov–Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394]
|
2016
|
Harald Hanche-Olsen
Helge Holden
|
|
+
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Dirichlet-to-Neumann Maps, Abstract Weyl-Titchmarsh $M$-Functions, and a Generalized Index of Unbounded Meromorphic Operator-Valued Functions
|
2016
|
Jussi Behrndt
Fritz Gesztesy
Helge Holden
Roger Nichols
|
|
+
PDF
Chat
|
Convergence of finite difference schemes for the Benjamin–Ono equation
|
2015
|
Rajib Dutta
Helge Holden
Ujjwal Koley
Nils Henrik Risebro
|
|
+
PDF
|
Operator splitting for the Benjamin–Ono equation
|
2015
|
Ritabrata Dutta
Helge Holden
Ujjwal Koley
Nils Henrik Risebro
|
|
+
PDF
Chat
|
On the Braess Paradox with Nonlinear Dynamics and Control Theory
|
2015
|
Rinaldo M. Colombo
Helge Holden
|
|
+
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The general peakon-antipeakon solution for the Camassa-Holm equation
|
2015
|
Katrin Grunert
Helge Holden
|
|
+
|
The Riemann Problem for Systems
|
2015
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
A Short Course in Difference Methods
|
2015
|
Helge Holden
Nils Henrik Risebro
|
|
+
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Existence of Solutions of the Cauchy Problem
|
2015
|
Helge Holden
Nils Henrik Risebro
|
|
+
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Well-Posedness of the Cauchy Problem
|
2015
|
Helge Holden
Nils Henrik Risebro
|
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+
|
Conservation Laws with Discontinuous Flux Functions
|
2015
|
Helge Holden
Nils Henrik Risebro
|
|
+
PDF
|
A CONTINUOUS INTERPOLATION BETWEEN CONSERVATIVE AND DISSIPATIVE SOLUTIONS FOR THE TWO-COMPONENT CAMASSA–HOLM SYSTEM
|
2015
|
Katrin Grunert
Helge Holden
Xavier Raynaud
|
|
+
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Camassa–Holm Equations
|
2015
|
Helge Holden
|
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+
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On the index of meromorphic operator-valued functions and some applications
|
2015
|
Jussi Behrndt
Fritz Gesztesy
Helge Holden
Roger Nichols
|
|
+
PDF
Chat
|
On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions
|
2014
|
Fritz Gesztesy
Helge Holden
Roger Nichols
|
|
+
PDF
Chat
|
Convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation
|
2014
|
Helge Holden
Ujjwal Koley
Nils Henrik Risebro
|
|
+
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Operator Splitting and fully discrete finite difference schemes for the Benjamin--Ono equation
|
2014
|
Rajib Dutta
Helge Holden
Ujjwal Koley
Nils Henrik Risebro
|
|
+
|
Convergence of finite difference schemes for the Benjamin-Ono equation
|
2014
|
Rajib Dutta
Helge Holden
Ujjwal Koley
Nils Henrik Risebro
|
|
+
|
On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions
|
2014
|
Fritz Gesztesy
Helge Holden
Roger Nichols
|
|
+
PDF
Chat
|
On an inverse problem for scalar conservation laws
|
2014
|
Helge Holden
Fabio S. Priuli
Nils Henrik Risebro
|
|
+
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A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system
|
2014
|
Katrin Grunert
Helge Holden
Xavier Raynaud
|
|
+
PDF
Chat
|
Global dissipative solutions of the two-component Camassa–Holm system for initial data with nonvanishing asymptotics
|
2014
|
Katrin Grunert
Helge Holden
Xavier Raynaud
|
|
+
|
On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions
|
2014
|
Fritz Gesztesy
Helge Holden
Roger Nichols
|
|
+
|
Convergence of finite difference schemes for the Benjamin-Ono equation
|
2014
|
Rajib Dutta
Helge Holden
Ujjwal Koley
Nils Henrik Risebro
|
|
+
|
Schrödinger Operators: Proceedings of the Nordic Summer School in Mathematics Held at Sandbjerg Slot, Sønderborg, Denmark, August 1-12, 1988
|
2013
|
Helge Holden
Arne Jensen
|
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+
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The Abel Prize 2008-2012
|
2013
|
Helge Holden
Ragni Piene
|
|
+
PDF
Chat
|
Periodic conservative solutions for the two-component Camassa–Holm system
|
2013
|
Katrin Grunert
Helge Holden
Xavier Raynaud
|
|
+
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Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday
|
2013
|
Helge Holden
Barry Simon
Gerald Teschl
|
|
+
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What is between conservative and dissipative solutions for the Camassa–Holm equation?
|
2013
|
Helge Holden
|
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+
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Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics
|
2013
|
Katrin Grunert
Helge Holden
Xavier Raynaud
|
|
+
PDF
|
Operator Splitting for Well-Posed Active Scalar Equations
|
2013
|
Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
|
|
+
|
Lipschitz metric for the two-component Camassa--Holm system
|
2013
|
Katrin Grunert
Helge Holden
Raynaud Xavier
|
|
+
|
Operator splitting for the Benjamin-Ono equation
|
2013
|
Ritabrata Dutta
Helge Holden
Ujjwal Koley
Nils Henrik Risebro
|
|
+
PDF
Chat
|
Lipschitz metric for the Camassa--Holm equation on the line
|
2013
|
Katrin Grunert
Helge Holden
Xavier Raynaud
|
|
+
|
Periodic conservative solutions for the two-component Camassa-Holm system
|
2013
|
Katrin Grunert
Helge Holden
Xavier Raynaud
|
|
+
|
Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation
|
2012
|
Helge Holden
Ujjwal Koley
Nils Henrik Risebro
|
|
+
PDF
|
Global conservative solutions to the Camassa--Holm equation for initial data with nonvanishing asymptotics
|
2012
|
Xavier Raynaud
Helge Holden
Katrin Grunert
|
|
+
PDF
|
Operator splitting for two-dimensional incompressible fluid equations
|
2012
|
Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
|
|
+
PDF
|
Operator splitting for partial differential equations with Burgers nonlinearity
|
2012
|
Helge Holden
Christian Lubich
Nils Henrik Risebro
|
|
+
|
Operator splitting for well-posed active scalar equations
|
2012
|
Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
|
|
+
PDF
Chat
|
Global Solutions for the Two-Component Camassa–Holm System
|
2012
|
Katrin Grunert
Helge Holden
Xavier Raynaud
|
|
+
PDF
|
Nonlinear Partial Differential Equations
|
2012
|
Helge Holden
Kenneth H. Karlsen
|
|
+
|
Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation
|
2012
|
Helge Holden
Ujjwal Koley
Nils Henrik Risebro
|
|
+
|
Operator splitting for well-posed active scalar equations
|
2012
|
Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
|
|
+
|
Nonlinear Partial Differential Equations : The Abel Symposium 2010
|
2012
|
Helge Holden
Kenneth H. Karlsen
|
|
+
|
Global solutions for the two-component Camassa-Holm system
|
2011
|
Katrin Grunert
Helge Holden
Xavier Raynaud
|
|
+
|
Global conservative solutions of the Camassa-Holm equation for initial data nonvanishing asymptotics
|
2011
|
Katrin Grunert
Helge Holden
Xavier Raynaud
|
|
+
|
The damped string problem revisited
|
2011
|
Fritz Gesztesy
Helge Holden
|
|
+
PDF
|
Abstract wave equations and associated Dirac-type operators
|
2011
|
Fritz Gesztesy
Jerome A. Goldstein
Helge Holden
Gerald Teschl
|
|
+
|
Global Semigroup of Conservative Solutions of the Nonlinear Variational Wave Equation
|
2011
|
Helge Holden
Xavier Raynaud
|
|
+
|
Operator splitting for partial differential equations with Burgers nonlinearity
|
2011
|
Helge Holden
Christian Lubich
Nils Henrik Risebro
|
|
+
|
Operator splitting for two-dimensional incompressible fluid equations
|
2011
|
Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
|
|
+
|
$L^\infty$ Solutions for a Model of Nonisothermal Polytropic Gas Flow
|
2011
|
Hermano Frid
Helge Holden
Kenneth H. Karlsen
|
|
+
|
Existence of Solutions of the Cauchy Problem for Systems
|
2011
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
Scalar Conservation Laws
|
2011
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
Well-Posedness of the Cauchy Problem for Systems
|
2011
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
The Riemann Problem for Systems
|
2011
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
Operator splitting for two-dimensional incompressible fluid equations
|
2011
|
Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
|
|
+
|
Operator splitting for partial differential equations with Burgers nonlinearity
|
2011
|
Helge Holden
Christian Lubich
Nils Henrik Risebro
|
|
+
PDF
|
Operator splitting for the KdV equation
|
2010
|
Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
Terence Tao
|
|
+
|
Lipschitz metric for the Camassa-Holm equation on the line
|
2010
|
Katrin Grunert
Helge Holden
Xavier Raynaud
|
|
+
|
The Damped String Problem Revisited
|
2010
|
Fritz Gesztesy
Helge Holden
|
|
+
|
$L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy
|
2010
|
Hermano Frid
Helge Holden
Kenneth H. Karlsen
|
|
+
|
Lipschitz metric for the periodic Camassa–Holm equation
|
2010
|
Katrin Grunert
Helge Holden
Xavier Raynaud
|
|
+
|
Lipschitz metric for the periodic Camassa-Holm equation
|
2010
|
Katrin Grunert
Helge Holden
Xavier Raynaud
|
|
+
PDF
|
Front tracking for a model of immiscible gas flow with large data
|
2010
|
Helge Holden
Nils Henrik Risebro
Hilde Sande
|
|
+
|
Lipschitz metric for the Hunter–Saxton equation
|
2010
|
Alberto Bressan
Helge Holden
Xavier Raynaud
|
|
+
|
Nonlinear partial differential equations and hyperbolic wave phenomena : 2008-2009 Research Program on Nonlinear Partial Differential Equations, Centre for Advanced Study of the Norwegian Academy of Sciences and Letters, Oslo, Norway
|
2010
|
Norske videnskaps-akademi
Helge Holden
Kenneth H. Karlsen
|
|
+
|
Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena
|
2010
|
Helge Holden
Kenneth H. Karlsen
|
|
+
|
Ground states of the Schrödinger-Maxwell system with dirac mass: Existence and asymptotics
|
2010
|
Giuseppe Maria Coclite
Helge Holden
|
|
+
PDF
Chat
|
The Kolmogorov–Riesz compactness theorem
|
2010
|
Harald Hanche-Olsen
Helge Holden
|
|
+
|
$L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy
|
2010
|
Hermano Frid
Helge Holden
Kenneth H. Karlsen
|
|
+
|
The Damped String Problem Revisited
|
2010
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Stochastic Partial Differential Equations
|
2009
|
Helge Holden
Bernt Øksendal
Jan Ubøe
Tusheng Zhang
|
|
+
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On the Camassa–Holm and Hunter–Saxton equations
|
2009
|
Helge Holden
|
|
+
|
A Survey of Peter D. Lax’s Contributions to Mathematics
|
2009
|
Helge Holden
Peter Sarnak
|
|
+
|
The Abel Prize
|
2009
|
Helge Holden
Ragni Piene
|
|
+
PDF
|
Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function
|
2009
|
Helge Holden
Kenneth H. Karlsen
Darko Mitrović
Evgeny Yu. Panov
|
|
+
|
Applications to Stochastic Ordinary Differential Equations
|
2009
|
Helge Holden
Bernt Øksendal
Jan Ubøe
Tusheng Zhang
|
|
+
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The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy
|
2009
|
Fritz Gesztesy
Helge Holden
Johanna Michor
Gerald Teschl
|
|
+
|
Symmetric Waves Are Traveling Waves
|
2009
|
Mats Ehrnström
Helge Holden
Xavier Raynaud
|
|
+
PDF
|
THE SOLUTION OF THE CAUCHY PROBLEM WITH LARGE DATA FOR A MODEL OF A MIXTURE OF GASES
|
2009
|
Helge Holden
Nils Henrik Risebro
Hilde Sande
|
|
+
PDF
|
Dissipative solutions for the Camassa-Holm equation
|
2009
|
Helge Holden
Xavier Raynaud
|
|
+
PDF
|
Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function
|
2009
|
Helge Holden
Kenneth H. Karlsen
Darko Mitrović
|
|
+
|
Symmetric waves are traveling waves
|
2009
|
Mats Ehrnström
Helge Holden
Xavier Raynaud
|
|
+
|
Operator splitting for the KdV equation
|
2009
|
Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
Terence Tao
|
|
+
|
Global semigroup of conservative solutions of the nonlinear variational wave equation
|
2009
|
Helge Holden
Xavier Raynaud
|
|
+
|
Lipschitz metric for the Hunter-Saxton equation
|
2009
|
José A. Carrillo
Katrin Grunert
Helge Holden
|
|
+
PDF
|
Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases
|
2009
|
Helge Holden
Nils Henrik Risebro
Hilde Sande
|
|
+
PDF
Chat
|
The Ablowitz-Ladik Hierarchy Revisited
|
2008
|
Fritz Gesztesy
Helge Holden
Johanna Michor
Gerald Teschl
|
|
+
|
Global Dissipative Multipeakon Solutions of the Camassa–Holm Equation
|
2008
|
Helge Holden
Xavier Raynaud
|
|
+
|
Lagrange Interpolation
|
2008
|
Fritz Gesztesy
Helge Holden
Johanna Michor
Gerald Teschl
|
|
+
|
Asymptotic Spectral Parameter Expansions and Nonlinear Recursion Relations
|
2008
|
Fritz Gesztesy
Helge Holden
Johanna Michor
Gerald Teschl
|
|
+
|
Hyperelliptic Curves of the Toda-Type
|
2008
|
Fritz Gesztesy
Helge Holden
Johanna Michor
Gerald Teschl
|
|
+
|
Algebraic Curves and Their Theta Functions in a Nutshell
|
2008
|
Fritz Gesztesy
Helge Holden
Johanna Michor
Gerald Teschl
|
|
+
PDF
|
Well-posedness of higher-order Camassa–Holm equations
|
2008
|
Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
|
|
+
PDF
Chat
|
A convergent finite-difference method for a nonlinear variational wave equation
|
2008
|
Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
|
|
+
|
Erratum to: “The Schrödinger–Maxwell system with Dirac mass” [Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (5) (2007) 773–793]
|
2008
|
Giuseppe Maria Coclite
Helge Holden
|
|
+
PDF
Chat
|
Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz–Ladik Hierarchy
|
2008
|
Fritz Gesztesy
Helge Holden
Johanna Michor
Gerald Teschl
|
|
+
PDF
|
The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data
|
2008
|
Fritz Gesztesy
Helge Holden
Gerald Teschl
|
|
+
|
Random fields with values in Lie groups and Higgs fields
|
2008
|
Sergio Albeverio
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
Global Weak Solutions for a Shallow Water Equation
|
2008
|
Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
|
|
+
PDF
|
Periodic conservative solutions of the Camassa–Holm equation
|
2008
|
Helge Holden
Xavier Raynaud
|
|
+
|
Erratum to : “The Schrödinger–Maxwell system with Dirac mass”
|
2008
|
Giuseppe Maria Coclite
Helge Holden
|
|
+
|
A Numerical Scheme Based on Multipeakons for Conservative Solutions of the Camassa–Holm Equation
|
2008
|
Helge Holden
Xavier Raynaud
|
|
+
|
Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
|
2007
|
Helge Holden
Xavier Raynaud
|
|
+
PDF
Chat
|
Algebro-Geometric Finite-Band Solutions of the Ablowitz-Ladik Hierarchy
|
2007
|
Fritz Gesztesy
Helge Holden
Johanna Michor
Gerald Teschl
|
|
+
PDF
Chat
|
Real-valued algebro-geometric solutions of the Camassa–Holm hierarchy
|
2007
|
Fritz Gesztesy
Helge Holden
|
|
+
|
GLOBAL CONSERVATIVE MULTIPEAKON SOLUTIONS OF THE CAMASSA–HOLM EQUATION
|
2007
|
Helge Holden
Xavier Raynaud
|
|
+
PDF
|
Convergent difference schemes for the Hunter–Saxton equation
|
2007
|
Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
|
|
+
|
The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy
|
2007
|
Fritz Gesztesy
Helge Holden
Johanna Michor
Gerald Teschl
|
|
+
|
A convergent finite difference method for a nonlinear variational wave equation
|
2007
|
Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
|
|
+
PDF
|
The Schrödinger–Maxwell system with Dirac mass
|
2006
|
Giuseppe Maria Coclite
Helge Holden
|
|
+
|
Algebro-Geometric Solutions of the Ablowitz-Ladik Hierarchy
|
2006
|
Fritz Gesztesy
Helge Holden
Johanna Michor
Gerald Teschl
|
|
+
|
Global conservative solutions of the generalized hyperelastic-rod wave equation
|
2006
|
Helge Holden
Xavier Raynaud
|
|
+
|
Local Conservation Laws and the Hamiltonian Formalism for the Toda Hierarchy Revisited
|
2006
|
Fritz Gesztesy
Helge Holden
|
|
+
|
A convergent numerical scheme for the Camassa--Holm equation based on multipeakons
|
2006
|
Helge Holden
Xavier Raynaud
|
|
+
|
Convergence of a Finite Difference Scheme for the Camassa–Holm Equation
|
2006
|
Helge Holden
Xavier Raynaud
|
|
+
|
Convergence of a finite different scheme for the Camassa-Holm equation
|
2006
|
Helge Holden
Xavier Raynaud
|
|
+
|
The Algebro-Geometric Toda Hierarchy Initial Value Problem for Complex-Valued Initial Data
|
2006
|
Fritz Gesztesy
Helge Holden
Gerald Teschl
|
|
+
|
Point interaction Hamiltonians for crystals with random defects
|
2005
|
Sergio Albeverio
Rodolfo Figari
Fritz Gesztesy
Raphaël Høegh-Krohn
Helge Holden
Werner Kirsch
|
|
+
|
Algebro-Geometric Solutions of the Baxter–Szegő Difference Equation
|
2005
|
Jeffrey S. Geronimo
Fritz Gesztesy
Helge Holden
|
|
+
|
Stability of solutions of quasilinear parabolic equations
|
2005
|
Giuseppe Maria Coclite
Helge Holden
|
|
+
PDF
|
Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation
|
2005
|
Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
|
|
+
PDF
|
Wellposedness for a parabolic-elliptic system
|
2005
|
Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
|
|
+
|
C. Schrödinger operators with interactions concentrated around infinitely many centers
|
2004
|
Sergio Albeverio
Fritz Gesztesy
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
A. Self-adjoint extensions of symmetric operators
|
2004
|
S. Albeverio
Fritz Gesztesy
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
F. Dirichlet forms for point interactions
|
2004
|
S. Albeverio
Fritz Gesztesy
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
D. Boundary conditions for Schrödinger operators on (0,∞)
|
2004
|
Sergio Albeverio
Fritz Gesztesy
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
H. Nonstandard analysis and point interactions
|
2004
|
Sergio Albeverio
Fritz Gesztesy
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
3. Infinitely many 𝛿’-interactions in one dimension
|
2004
|
S. Albeverio
Fritz Gesztesy
Raphaël Høegh-Krohn
Helge Holden
|
|
+
PDF
Chat
|
Spectral analysis of Darboux transformations for the focusing NLS hierarchy
|
2004
|
Radu C. Cascaval
Fritz Gesztesy
Helge Holden
Yuri Latushkin
|
|
+
|
Algebro-Geometric Solutions of a Discrete System Related to the Trigonometric Moment Problem
|
2004
|
Jeffrey S. Geronimo
Fritz Gesztesy
Helge Holden
|
|
+
|
WELLPOSEDNESS OF SOLUTIONS OF A PARABOLIC-ELLIPTIC SYSTEM
|
2004
|
Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
|
|
+
|
The hyperelliptic ζ–function and the integrable massive Thirring model
|
2003
|
J. C. Eilbeck
V. Z. Enolski
Helge Holden
|
|
+
|
The Combined sine-Gordon and Modified KdV Hierarchy
|
2003
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Elliptic Functions
|
2003
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Spectral Measures and Weyl—Titchmarsh <i>m</i>-Functions for Schrödinger Operators
|
2003
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Algebraic Curves and Their Theta Functions in a Nutshell
|
2003
|
Fritz Gesztesy
Helge Holden
|
|
+
|
The Camassa—Holm Hierarchy
|
2003
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Symmetric Functions, Trace Formulas, and Dubrovin-Type Equations
|
2003
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Hyperelliptic Curves of the AKNS-Type
|
2003
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Hyperelliptic Curves of the KdV-Type
|
2003
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Asymptotic Spectral Parameter Expansions and Nonlinear Recursion Relations
|
2003
|
Fritz Gesztesy
Helge Holden
|
|
+
PDF
|
Algebro-Geometric Solutions of the Camassa–Holm hierarchy
|
2003
|
Fritz Gesztesy
Helge Holden
|
|
+
|
On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations
|
2003
|
Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
|
|
+
|
Stability of solutions of quasilinear parabolic equations
|
2003
|
Giuseppe Maria Coclite
Helge Holden
|
|
+
|
(1 + 1)-dimensional continuous models
|
2003
|
Fritz Gesztesy
Helge Holden
|
|
+
PDF
|
Dubrovin equations and integrable systems on hyperelliptic curves
|
2002
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Existence of Solutions of the Cauchy Problem for Systems
|
2002
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
Well-Posedness of the Cauchy Problem for Systems
|
2002
|
Helge Holden
Nils Henrik Risebro
|
|
+
PDF
|
The Riemann problem for an elastic string with a linear Hooke’s law
|
2002
|
Harald Hanche-Olsen
Helge Holden
Nils Henrik Risebro
|
|
+
|
Spectral Analysis of Darboux Transformations for the Focusing NLS Hierarchy
|
2002
|
Radu C. Cascaval
Fritz Gesztesy
Helge Holden
Yuri Latushkin
|
|
+
|
Real-Valued Algebro-Geometric Solutions of the Camassa--Holm hierarchy
|
2002
|
Fritz Gesztesy
Helge Holden
|
|
+
|
The Riemann Problem for Systems
|
2002
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
Scalar Conservation Laws
|
2002
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
A White Noise Approach to Stochastic Neumann Boundary-Value Problems
|
2001
|
Helge Holden
Bernt Øksendal
|
|
+
|
Algebro-Geometric Solutions of the Camassa--Holm hierarchy
|
2001
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Operator Splitting for Convection-Dominated Nonlinear Partial Differential Equations
|
2001
|
Helge Holden
Kenneth H. Karlsen
Knut–Andreas Lie
Nils Henrik Risebro
|
|
+
PDF
Chat
|
THE COLE-HOPF AND MIURA TRANSFORMATIONS REVISITED
|
2000
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Borg-Type Theorems for Matrix-Valued Schrödinger Operators
|
2000
|
Stephen Clark
Fritz Gesztesy
Helge Holden
B. M. Levitan
|
|
+
PDF
Chat
|
Darboux-type transformations and hyperelliptic curves
|
2000
|
Fritz Gesztesy
Helge Holden
|
|
+
|
The classical massive Thirring system revisited
|
2000
|
V. Z. Enolski
Fritz Gesztesy
Helge Holden
|
|
+
|
Operator Splitting Methods for Generalized Korteweg–De Vries Equations
|
1999
|
Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
|
|
+
|
An Unconditionally Stable Method for the Euler Equations
|
1999
|
Helge Holden
Knut–Andreas Lie
Nils Henrik Risebro
|
|
+
|
Riemann Problems with a Kink
|
1999
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
Darboux-type transformations and hyperelliptic curves
|
1999
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Borg-Type Theorems for Matrix-Valued Schrödinger Operators
|
1999
|
Stephen Clark
Fritz Gesztesy
Helge Holden
B. M. Levitan
|
|
+
|
Dubrovin equations and integrable systems on hyperelliptic curves
|
1998
|
Fritz Gesztesy
Helge Holden
|
|
+
PDF
Chat
|
Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies
|
1998
|
W. Bulla
Fritz Gesztesy
Helge Holden
Gerald Teschl
|
|
+
|
The classical Boussinesq hierarchy revisited
|
1998
|
Fritz Gesztesy
Helge Holden
|
|
+
|
The Cole-Hopf and Miura transformations revisited
|
1998
|
Fritz Gesztesy
Helge Holden
|
|
+
PDF
|
Conservation laws with a random source
|
1997
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
A Local Sine-Gordon Hierarchy and its Algebro-Geometric Solutions
|
1997
|
Fritz Gesztesy
Helge Holden
|
|
+
|
A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions
|
1997
|
Fritz Gesztesy
Helge Holden
|
|
+
PDF
|
On Trace Formulas for Schrödinger-Type Operators
|
1997
|
Fritz Gesztesy
Helge Holden
|
|
+
|
A Trace Formula for Multidimensional Schrödinger Operators
|
1996
|
Fritz Gesztesy
Helge Holden
Barry Simon
Zhengyang Zhao
|
|
+
|
Finite difference approximation of the pressure equation for fluid flow in a stochastic medium — a probabilistic approach
|
1996
|
Helge Holden
Yaozhong Hu
|
|
+
|
The classical Boussinesq hierarchy revisted
|
1996
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Stochastic Partial Differential Equations
|
1996
|
Helge Holden
Bernt Øksendal
Jan Ubøe
Tusheng Zhang
|
|
+
PDF
|
The pressure equation for fluid flow in a stochastic medium
|
1995
|
Helge Holden
Tom Lindstrøm
Bernt Øksendal
Jan Ubøe
Tusheng Zhang
|
|
+
PDF
|
HIGHER ORDER TRACE RELATIONS FOR SCHRÖDINGER OPERATORS
|
1995
|
Fritz Gesztesy
Helge Holden
Barry Simon
Z. Zhao
|
|
+
PDF
|
The stochastic Wick-type Burgers equation
|
1995
|
Helge Holden
Tom Lindstrøm
Bernt Øksendal
Jan Ubøe
Tusheng Zhang
|
|
+
|
Maximum Principles for a Class of Conservation Laws
|
1995
|
Helge Holden
Nils Henrik Risebro
Aslak Tveito
|
|
+
|
On new trace formulae for Schr�dinger operators
|
1995
|
Fritz Gesztesy
Helge Holden
|
|
+
PDF
|
Absolute summability of the trace relation for certain Schrödinger operators
|
1995
|
Fritz Gesztesy
Helge Holden
Barry Simon
|
|
+
PDF
|
An Equation Modelling Transport of a Substance in a Stochastic Medium
|
1995
|
Jon Gjerde
Helge Holden
Bernt Øksendal
Jan Ubøe
Tusheng Zhang
|
|
+
|
On New Trace Formulae for Schrödinger Operators
|
1995
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Thermal fluctuations around classical crystalline ground states. The case of bounded fluctuations
|
1994
|
Sergio Albeverio
Roman Gielerak
Helge Holden
Torbjörn Kolsrud
M. Mebkhout
|
|
+
|
TRACE FORMULAS AND CONSERVATION LAWS FOR NONLINEAR EVOLUTION EQUATIONS
|
1994
|
Fritz Gesztesy
Helge Holden
|
|
+
|
Thermal fluctuations around classical crystalline ground states. The case of bounded fluctuations
|
1994
|
Sergio Albeverio
Roman Gielerak
Helge Holden
Torbjörn Kolsrud
M. Mebkhout
|
|
+
PDF
|
Stochastic boundary value problems: a white noise functional approach
|
1993
|
Helge Holden
Tom Lindstrøm
Bernt Øksendal
Jan Ubøe
Tusheng Zhang
|
|
+
|
Comments on a recent note on the Schrodinger equation with a delta '-interaction
|
1993
|
Sergio Albeverio
Fritz Gesztesy
Helge Holden
|
|
+
PDF
|
Trace formulae and inverse spectral theory for Schrödinger operators
|
1993
|
Fritz Gesztesy
Helge Holden
Barry Simon
Zhixue Zhao
|
|
+
PDF
|
A method of fractional steps for scalar conservation laws without the CFL condition
|
1993
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
Trace formulae and inverse spectral theory for Schrödinger operators
|
1993
|
Fritz Gesztesy
Helge Holden
Barry Simon
Zhong Xin Zhao
|
|
+
PDF
|
A Method of Fractional Steps for Scalar Conservation Laws without the CFL Condition
|
1993
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
A Mathematical Model of Traffic Flow on a Network of Roads
|
1993
|
Helge Holden
Nils Henrik Risebro
|
|
+
PDF
|
Discrete wick calculus and stochastic functional equations
|
1992
|
Helge Holden
Tom Lindstr⊘m
Bernt �ksendal
Jan Ub�e
|
|
+
|
Ideas and methods in quantum and statistical physics
|
1992
|
Sergio Albeverio
Helge Holden
Jens Erik Fenstad
Tom Lindstrøm
|
|
+
|
A New Front-Tracking Method for Reservoir Simulation
|
1992
|
Frode Bratvedt
Kyrre Bratvedt
C. Buchholz
Lars Holden
Helge Holden
Nils Henrik Risebro
|
|
+
|
Stochastic Properties of the Scalar Buckley-Leverett Equation
|
1991
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation
|
1991
|
Fritz Gesztesy
Helge Holden
Elias Saab
Barry Simon
|
|
+
|
A FRACTIONAL STEPS METHOD FOR SCALAR CONSERVATION LAWS WITHOUT THE CFL CONDITION
|
1991
|
Helge Holden
Nils Henrik Risebro
|
|
+
|
Some qualitative properties of 2x2 systems of conservation laws of mixed type
|
1990
|
Helge Holden
Lyman Holden
Nils Henrik Risebro
|
|
+
PDF
|
Some Qualitative Properties of 2 × 2 Systems of Conservation Laws of Mixed Type
|
1990
|
Helge Holden
Lars Holden
Nils Henrik Risebro
|
|
+
|
Representation and construction of multiplicative noise
|
1989
|
Sergio Albeverio
Helge Holden
Raphaël Høegh-Krohn
Torbjörn Kolsrud
|
|
+
|
Construction of quantized Higgs-like fields in two dimensions
|
1989
|
Sergio Albeverio
Raphaël Høegh-Krohn
Helge Holden
Torbjörn Kolsrud
|
|
+
|
Rings on <i>R</i><sup>2</sup>
|
1989
|
Helge Holden
|
|
+
|
Schrödinger Operators: Proceedings, Sønderborg, Denmark 1988
|
1989
|
Helge Holden
Arne Jensen
|
|
+
|
On some Recent Results for an Explicit Conservation Law of Mixed Type in One Dimension
|
1989
|
Helge Holden
Lars Holden
|
|
+
|
On the Riemann problem for a prototype of a mixed type conservation law. II
|
1989
|
Helge Holden
Lars Holden
|
|
+
PDF
|
Trapping and cascading of eigenvalues in the large coupling limit
|
1988
|
Fritz Gesztesy
David Gurarie
Helge Holden
Martin Klaus
Lorenzo Sadun
Barry Simon
P. Vogl
|
|
+
|
On energy gaps in a new type of analytically solvable model in quantum mechanics
|
1988
|
Fritz Gesztesy
Helge Holden
Werner Kirsch
|
|
+
|
Stochastic multiplicative measures, generalized Markov semigroups, and group-valued stochastic processes and fields
|
1988
|
Sergio Albeverio
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
A law of large numbers and a central limit theorem for the Schr�dinger operator with zero-range potentials
|
1988
|
Rodolfo Figari
Helge Holden
A. Tetab
|
|
+
|
Random Hamiltonians with Point Interactions
|
1988
|
Sergio Albeverio
Friedrich Gesztesy
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
The One-Center δ-Interaction in One Dimension
|
1988
|
Sergio Albeverio
Friedrich Gesztesy
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
Infinitely Many δ’-Interactions in One Dimension
|
1988
|
Sergio Albeverio
Friedrich Gesztesy
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
Finitely Many Point Interactions in Two Dimensions
|
1988
|
Sergio Albeverio
Friedrich Gesztesy
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
A numerical method for first order nonlinear scalar conservation laws in one-dimension
|
1988
|
Helge Holden
Lars Holden
Raphaël Høegh-Krohn
|
|
+
|
Finitely Many δ-Interactions in One Dimension
|
1988
|
Sergio Albeverio
Friedrich Gesztesy
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
Finitely Many δ’-Interactions in One Dimension
|
1988
|
Sergio Albeverio
Friedrich Gesztesy
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
Infinitely Many δ-Interactions in One Dimension
|
1988
|
Sergio Albeverio
Friedrich Gesztesy
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
A new class of solvable models in quantum mechanics describing point interactions on the line
|
1987
|
Fritz Gesztesy
Helge Holden
|
|
+
|
A unified approach to eigenvalues and resonances of Schrödinger operators using Fredholm determinants
|
1987
|
Fritz Gesztesy
Helge Holden
|
|
+
|
On the riemann problem for a prototype of a mixed type conservation law
|
1987
|
Helge Holden
|
|
+
|
On Some Recent Results for Conservation Laws in One Dimension
|
1987
|
Helge Holden
|
|
+
|
Stochastic lie group-valued measures and their relations to stochastic curve integrals, gauge fields and markov cosurfaces
|
1986
|
Sergio Albeverio
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
The schrödinger operator for a particle in a solid with deterministic and stochastic point interactions
|
1986
|
Sergio Albeverio
Fritz Gesztesy
Raphaël Høegh-Krohn
Helge Holden
Werner Kirsch
|
|
+
|
Lifshitz Singularity of the Integrated Density of States and Absence of Diffusion Near the Bottom of the Spectrum for A Random Hamiltonian
|
1985
|
Fabio Martinelli
Helge Holden
|
|
+
|
The short-range expansion for multiple well scattering theory
|
1985
|
Helge Holden
Raphael Ho egh-Krohn
M. Mebkhout
|
|
+
|
Markov Processes on Infinite Dimensional Spaces, Markov Fields and Markov Cosurfaces
|
1985
|
Sergio Albeverio
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
On absence of diffusion near the bottom of the spectrum for a random Schr�dinger operator onL 2(?)+
|
1984
|
Fabio Martinelli
Helge Holden
|
|
+
|
On absence of diffusion for low energy for a random Schrödinger operator on L2(R)
|
1984
|
Fabio Martinelli
Helge Holden
|
|
+
|
Markov Cosurfaces and Gauge Fields
|
1984
|
Sergio Albeverio
Raphaël Høegh-Krohn
Helge Holden
|
|
+
|
The short range expansion
|
1983
|
Helge Holden
Raphael Høegh Krohn
Steinar Johannesen
|
|
+
|
The spectrum of defect periodic point interactions
|
1983
|
Raphael H�egh Krohn
Helge Holden
Fabio Martinelli
|