Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations

Kenneth H. Karlsen, Süleyman Ulusoy

Type: Preprint

Publication Date: 2009-01-01

Citations: 20

DOI: https://doi.org/10.48550/arxiv.0902.0538

View Publication

Locations

arXiv (Cornell University) - View
DOAJ (DOAJ: Directory of Open Access Journals) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Global Solutions to Stochastic Volterra Equations Driven by Lévy Noise	2018	Erika Hausenblas Mihály Kovács
+	Pseudoparabolic Equations for Various Lévy Models	2017	Andrey Itkin
+	Non-local diffusion equations with Lévy-type operators and divergence free drift	2012	Diego Chamorro
+	Reflected Skorokhod equations and the Neumann boundary value problem for elliptic equations with Levy-type operators	2023	Andrzej Rozkosz Leszek Słomiński
+ PDF Chat	Continuous dependence estimate for a degenerate parabolic−hyperbolic equation with Levy noise	2017	Ujjwal Koley Ananta K. Majee Guy Vallet
+	Continuous dependence estimate for a degenerate parabolic-hyperbolic equation with Levy noise	2016	Ujjwal Koley Ananta K. Majee Guy Vallet
+ PDF Chat	Uniqueness of viscosity solutions for a class of integro-differential equations	2015	Chenchen Mou Andrzej Święch
+	Nonlinear SDEs driven by Lévy processes and related PDEs	2007	Benjamin Jourdain Sylvie Méléard Wojbor A. Woyczyński
+	Conservation laws driven by Lévy white noise	2014	Imran H. Biswas Kenneth H. Karlsen Ananta K. Majee
+ PDF Chat	Conservation laws driven by Lévy white noise	2015	Imran H. Biswas Kenneth H. Karlsen Ananta K. Majee
+	Global solutions to the stochastic Volterra Equation driven by Lévy noise	2016	Mihály Kovács Erika Hausenblas
+ PDF Chat	Entropy solution theory for fractional degenerate convection–diffusion equations	2011	Simone Cifani Espen R. Jakobsen
+	Regularity results for solutions of mixed local and nonlocal elliptic equations	2022	Xifeng Su Enrico Valdinoci Yuanhong Wei Jiwen Zhang
+ PDF Chat	Nonlinear stochastic partial differential equations of hyperbolic type driven by Lévy-type noises	2016	Jiahui Zhu Zdzisław Brzeźniak
+ PDF Chat	Stability of Solutions of Parabolic PDEs with Random Drift and Viscosity Limit	1999	Thomas Deck
+	The Cauchy problem for fractional conservation laws driven by Lévy noise	2020	Neeraj Bhauryal Ujjwal Koley Guy Vallet
+ PDF Chat	Renormalized stochastic entropy solution for degenerate parabolic-hyperbolic equations with Levy noise	2024	Soumya Ranjan Behera Ananta K. Majee
+ PDF Chat	\( L^{p} \)-maximal regularity of nonlocal parabolic equations and applications	2012	Xicheng Zhang
+	Random field solutions to linear SPDEs driven by symmetric pure jump Lévy space-time white noises	2019	Robert C. Dalang Thomas Humeau
+ PDF Chat	Continuous dependence estimate for a degenerate parabolic–hyperbolic equation with Lévy noise	2016	Ujjwal Koley Ananta K. Majee Guy Vallet

Works That Cite This (20)

Action	Title	Year	Authors
+ PDF Chat	Entropy solution theory for fractional degenerate convection–diffusion equations	2011	Simone Cifani Espen R. Jakobsen
+	Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation	2014	Salih Tatar Ramazan Tınaztepe Süleyman Ulusoy
+	On a hyperbolic Keller-Segel system with degenerate nonlinear fractional diffusion	2016	Kenneth H. Karlsen Süleyman Ulusoy
+	Asymptotic properties of entropy solutions to fractal Burgers equation	2009	Nathaël Alibaud Cyril Imbert Grzegorz Karch
+ PDF Chat	On the spectral vanishing viscosity method for periodic fractional conservation laws	2013	Simone Cifani Espen R. Jakobsen
+	On nonlinear fractional convection - diffusion equations	2011	Simone Cifani
+ PDF Chat	Optimal Continuous Dependence Estimates for Fractional Degenerate Parabolic Equations	2014	Nathaël Alibaud Simone Cifani Espen R. Jakobsen
+ PDF Chat	Non-uniqueness of weak solutions for the fractal Burgers equation	2010	Nathaël Alibaud Boris Andreïanov
+ PDF Chat	Continuous Dependence Estimates for Nonlinear Fractional Convection-diffusion Equations	2012	Nathaël Alibaud Simone Cifani Espen R. Jakobsen
+	The Cauchy problem for fractional conservation laws driven by Lévy noise	2020	Neeraj Bhauryal Ujjwal Koley Guy Vallet

Works Cited by This (33)

Action	Title	Year	Authors
+ PDF Chat	Viscosity solutions of nonlinear integro-differential equations	1996	Olivier Alvarez Agnès Tourin
+	Optimal Control of Jump-Markov Processes and Viscosity Solutions	1988	H. Meté Soner
+	Backward stochastic differential equations and integral-partial differential equations	1997	Guy Barles Rainer Buckdahn Étienne Pardoux
+	Blow up and regularity for fractal Burgers equation	2008	Alexander Kiselev Fëdor Nazarov Roman Shterenberg
+	A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations	2002	Kenneth H. Karlsen Mario Ohlberger
+	Holder estimates for solutions of integro differential equations like the fractional laplace	2006	Luís Silvestre
+	A new definition of viscosity solutions for a class of second-order degenerate elliptic integro-differential equations	2006	Mariko Arisawa
+	Dissipative and Entropy Solutions to Non-Isotropic Degenerate Parabolic Balance Laws	2003	Benoı̂t Perthame Panagiotis E. Souganidis
+ PDF Chat	Pseudo Differential Operators and Markov Processes	2005	Niels Jacob
+ PDF Chat	Entropy Formulation for Parabolic Degenerate Equations with General Dirichlet Boundary Conditions and Application to the Convergence of FV Methods	2003	Anthony Michel Julien Vovelle