Benny Avelin

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All published works
Action Title Year Authors
+ PDF Chat Renormalized stochastic pressure equation with log-correlated Gaussian coefficients 2024 Benny Avelin
Tuomo Kuusi
Patrik Nummi
Eero Saksman
Jonas M. Tölle
Lauri Viitasaari
+ PDF Chat Weak and Perron's Solutions to Linear Kinetic Fokker-Planck Equations of Divergence Form in Bounded Domains 2024 Benny Avelin
Mingyi Hou
+ PDF Chat 1D stochastic pressure equation with log-correlated Gaussian coefficients 2024 Benny Avelin
Tuomo Kuusi
Patrik Nummi
Eero Saksman
Jonas M. Tölle
Lauri Viitasaari
+ Renormalized Stochastic Pressure Equation with Log-Correlated Gaussian Coefficients 2024 Patrik Nummi
Benny Avelin
Tuomo Kuusi
Eero Saksman
Jonas M. Tölle
Lauri Viitasaari
+ PDF Chat A Galerkin type method for kinetic Fokker-Planck equations based on Hermite expansions 2023 Benny Avelin
Mingyi Hou
Kaj Nyström
+ Exploring Singularities in point clouds with the graph Laplacian: An explicit approach 2023 Martin Andersson
Benny Avelin
+ A Galerkin type method for kinetic Fokker Planck equations based on Hermite expansions 2023 Benny Avelin
Mingyi Hou
Kaj Nyström
+ Hill estimator and extreme quantile estimator for functionals of approximated stochastic processes 2023 Jaakko Pere
Benny Avelin
Valentin Garino
Pauliina Ilmonen
Lauri Viitasaari
+ Exploring Singularities in Data with the Graph Laplacian: An Explicit Approach 2023 Martin Andersson
Benny Avelin
+ Sequential inductive prediction intervals 2023 Benny Avelin
+ Geometric Characterization of the Eyring-Kramers Formula 2022 Benny Avelin
Vesa Julin
Lauri Viitasaari
+ A note on the capacity estimate in metastability for generic configurations 2022 Benny Avelin
Vesa Julin
+ Concentration inequalities for leave-one-out cross validation 2022 Benny Avelin
Lauri Viitasaari
+ Uncertainty-aware body composition analysis with deep regression ensembles on UK Biobank MRI 2021 Taro Langner
Fredrik Gustafsson
Benny Avelin
Robin Strand
Håkan Åhlström
Joel Kullberg
+ Deep limits and cut-off phenomena for neural networks. 2021 Benny Avelin
Anders Karlsson
+ Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI 2021 Taro Langner
Fredrik Gustafsson
Benny Avelin
Robin Strand
Håkan Åhlström
Joel Kullberg
+ Remarks on existence and uniqueness of the solution for stochastic partial differential equations 2021 Benny Avelin
Lauri Viitasaari
+ Deep limits and cut-off phenomena for neural networks 2021 Benny Avelin
Anders Karlsson
+ Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI 2021 Taro Langner
Fredrik Gustafsson
Benny Avelin
Robin Strand
Håkan Åhlström
Joel Kullberg
+ Approximation of BV functions by neural networks: A regularity theory approach 2020 Benny Avelin
Vesa Julin
+ PDF Chat Neural ODEs as the deep limit of ResNets with constant weights 2020 Benny Avelin
Kaj Nyström
+ Boundary behavior of solutions to the parabolic p-Laplace equation II 2020 Benny Avelin
+ Approximation of BV functions by neural networks: A regularity theory approach 2020 Benny Avelin
Vesa Julin
+ Neural ODEs as the Deep Limit of ResNets with constant weights 2019 Benny Avelin
Kaj Nyström
+ Neural ODEs as the Deep Limit of ResNets with constant weights 2019 Benny Avelin
Kaj Nyström
+ PDF Chat Boundary behavior of solutions to the parabolic p-Laplace equation 2018 Benny Avelin
Tuomo Kuusi
Kaj Nyström
+ Nonlinear Calderón–Zygmund Theory in the Limiting Case 2017 Benny Avelin
Tuomo Kuusi
Giuseppe Mingione
+ PDF Chat A comparison principle for the porous medium equation and its consequences 2017 Benny Avelin
Teemu Lukkari
+ A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term 2017 Benny Avelin
Vesa Julin
+ Boundary behavior of solutions to the parabolic p-Laplace equation II 2017 Benny Avelin
+ PDF Chat Characterizations of interior polar sets for the degenerate p-parabolic equation 2016 Benny Avelin
Olli Saari
+ PDF Chat Boundary estimates for certain degenerate and singular parabolic equations 2016 Benny Avelin
Ugo Gianazza
Sandro Salsa
+ A Note on the Hyperconvexity of Pseudoconvex Domains Beyond Lipschitz Regularity 2015 Benny Avelin
Lisa Hed
Håkan Persson
+ Approximation of plurisubharmonic functions 2015 Benny Avelin
Lisa Hed
Håkan Persson
+ On time dependent domains for the degenerate $$p$$ p -parabolic equation: Carleson estimate and Hölder continuity 2015 Benny Avelin
+ Variational parabolic capacity 2015 Benny Avelin
Tuomo Kuusi
Mikko Parviainen
+ PDF Chat Lower semicontinuity of weak supersolutions to the porous medium equation 2015 Benny Avelin
Teemu Lukkari
+ Estimates for solutions to equations of p -Laplace type in Ahlfors regular NTA-domains 2014 Benny Avelin
Kaj Nyström
+ Harnack estimates for degenerate parabolic equations modeled on the subelliptic p -Laplacian 2014 Benny Avelin
Luca Capogna
Giovanna Citti
Kaj Nyström
+ Lower semicontinuity of weak supersolutions to the porous medium equation 2013 Benny Avelin
Teemu Lukkari
+ Harnack estimates for degenerate parabolic equations modeled on the subelliptic p-Laplacian 2013 Benny Avelin
Luca Capogna
Giovanna Citti
Kaj Nyström
+ Wolff-potential estimates and doubling of subelliptic -harmonic measures 2013 Benny Avelin
Kaj Nyström
+ On a one-phase free boundary problem 2013 Benny Avelin
+ Harnack estimates for degenerate parabolic equations modeled on the subelliptic p-Laplacian 2013 Benny Avelin
Luca Capogna
Giovanna Citti
Kaj Nyström
+ Lower semicontinuity of weak supersolutions to the porous medium equation 2013 Benny Avelin
Teemu Lukkari
+ Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains 2012 Benny Avelin
Lisa Hed
Håkan Persson
+ PDF Chat Optimal doubling, Reifenberg flatness and operators of -Laplace type 2011 Benny Avelin
Niklas L. P. Lundström
Kaj Nyström
+ Boundary estimates for solutions to operators of p-Laplace type with lower order terms 2010 Benny Avelin
Niklas L. P. Lundström
Kaj Nyström
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Boundary behavior of harmonic functions in non-tangentially accessible domains 1982 David Jerison
Carlos E. Kenig
10
+ Degenerate Parabolic Equations 1993 Emmanuele DiBenedetto
8
+ PDF Chat Boundary behavior and the Martin boundary problem for<i>p</i>harmonic functions in Lipschitz domains 2010 John L. Lewis
Kaj Nyström
7
+ PDF Chat Harnack estimates for weak supersolutions to nonlinear degenerate parabolic equations 2009 Tuomo Kuusi
6
+ PDF Chat Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains 2007 John L. Lewis
Kaj Nyström
6
+ PDF Chat Elliptic Partial Differential Equations of Second Order 2001 David Gilbarg
Neil S. Trudinger
5
+ PDF Chat Boundary regularity for degenerate and singular parabolic equations 2014 Anders Björn
Jana Björn
Ugo Gianazza
Mikko Parviainen
5
+ PDF Chat Deep Residual Learning for Image Recognition 2016 Kaiming He
Xiangyu Zhang
Shaoqing Ren
Jian Sun
5
+ On the Dirichlet Boundary Value Problem for a Degenerate Parabolic Equation 1996 Tero Kilpeläinen
Peter Lindqvist
5
+ Nonlinear Potential Theory of Degenerate Elliptic Equations 2018 Juha Heinonen
Tero Kilpeläinen
Олли Мартио
5
+ PDF Chat Harnack estimates for quasi-linear degenerate parabolic differential equations 2008 Emmanuele DiBenedetto
Ugo Gianazza
Vincenzo Vespri
4
+ PDF Chat Boundary Harnack inequalities for operators of 𝑝-Laplace type in Reifenberg flat domains 2008 John L. Lewis
Niklas L. P. Lundström
Kaj Nyström
4
+ PDF Chat Lower semicontinuity of weak supersolutions to nonlinear parabolic equations 2009 Tuomo Kuusi
4
+ PDF Chat On the existence of boundary values for harmonic functions in several variables 1962 Lennart Carleson
4
+ PDF Chat Boundary estimates for certain degenerate and singular parabolic equations 2016 Benny Avelin
Ugo Gianazza
Sandro Salsa
4
+ PDF Chat Behavior near the boundary of positive solutions of second order parabolic equations. II 1999 Eugene B. Fabes
M. V. Safonov
Yu Yuan
4
+ Regularity of Lipschitz free boundaries in two-phase problems for the p-Laplace operator 2010 John L. Lewis
Kaj Nyström
4
+ PDF Chat Nonlinear parabolic capacity and polar sets of superparabolic functions 2012 Juha Kinnunen
Riikka Korte
Tuomo Kuusi
Mikko Parviainen
3
+ PDF Chat Hypoelliptic second order differential equations 1967 Lars Hörmander
3
+ An embedding theorem and the harnack inequality for nonlinear subelliptic equations 1993 Luca Capogna
Donatella Danielli
Nicola Garofalo
3
+ Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces 1996 Nicola Garofalo
Duy-Minh Nhieu
3
+ PDF Chat Concentration of measure and logarithmic Sobolev inequalities 1999 Michel Ledoux
3
+ Hölder estimates for nonlinear degenerate parabolic sytems. 1985 Emmanuele DiBenedetto
Avner Friedman
3
+ Tunnel effect and symmetries for Kramers–Fokker–Planck type operators 2011 Frédéric Hérau
Michael Hitrik
Johannes Sjöstrand
3
+ PDF Chat Harmonic measure on locally flat domains 1997 Carlos E. Kenig
Tatiana Toro
3
+ PDF Chat The Wiener test and potential estimates for quasilinear elliptic equations 1994 Tero Kilpeläinen
Jan Malý
3
+ On time dependent domains for the degenerate $$p$$ p -parabolic equation: Carleson estimate and Hölder continuity 2015 Benny Avelin
3
+ Irregular time dependent obstacles 2012 Peter Lindqvist
Mikko Parviainen
3
+ On the dimension of p-harmonic measure 2005 Björn Bennewitz
John L. Lewis
3
+ REGULARITY AND FREE BOUNDARY REGULARITY FOR THE p LAPLACIAN IN LIPSCHITZ AND C1 DOMAINS 2008 John L. Lewis
Kaj Nyström
3
+ PDF Chat Some properties of nonnegative solutions of parabolic differential operators 1981 Sandro Salsa
3
+ PDF Chat Regularity of flat free boundaries in two-phase problems for the p-Laplace operator 2011 John L. Lewis
Kaj Nyström
3
+ Boundary behaviour of p-harmonic functions in domains beyond Lipschitz domains 2008 John L. Lewis
Kaj Nyström
3
+ Wiener's criterion for the heat equation 1982 Lawrence C. Evans
Ronald Gariepy
3
+ PDF Chat Optimal doubling, Reifenberg flatness and operators of -Laplace type 2011 Benny Avelin
Niklas L. P. Lundström
Kaj Nyström
3
+ PDF Chat Temperatures in several variables: Kernel functions, representations, and parabolic boundary values 1972 John T. Kemper
3
+ Two-Phase Problems for Linear Elliptic Operators with Variable Coefficients: Lipschitz Free Boundaries are C 1,? 2004 M. Cristina Cerutti
Fausto Ferrari
Sandro Salsa
3
+ A boundary Harnack inequality for singular equations of 𝑝-parabolic type 2014 Tuomo Kuusi
Giuseppe Mingione
Kaj Nyström
3
+ PDF Chat A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations 1986 Eugene B. Fabes
Nicola Garofalo
Sandro Salsa
3
+ Two-phase problems for a class of fully nonlinear elliptic operators. Lipschitz free boundaries are C 1,γ 2006 Fausto Ferrari
3
+ Behavior near the boundary of positive solutions of second order parabolic equations 1997 Eugene B. Fabes
M. V. Safonov
3
+ Regularity of the free boundary in two-phase problems for linear elliptic operators 2007 Fausto Ferrari
Sandro Salsa
3
+ Growth of entire A-subharmonic functions 2003 Tero Kilpeläinen
Xiao Zhong
3
+ Logarithmic Sobolev Inequalities 1975 Leonard Gross
3
+ Harnack's Inequality for Degenerate and Singular Parabolic Equations 2011 Emmanuele DiBenedetto
Ugo Gianazza
Vincenzo Vesprı
3
+ Quasilinear elliptic-parabolic differential equations 1983 Hans Wilhelm Alt
Stephan Luckhaus
2
+ PDF Chat A remark on bounded strictly plurisubharmonic exhaustion functions 1981 R. Michael Range
2
+ PDF Chat Balls and metrics defined by vector fields I: Basic properties 1985 Alexander Nagel
Elias M. Stein
Stephen Wainger
2
+ Shadows of infinities 2015 Tuomo Kuusi
Peter Lindqvist
Mikko Parviainen
2
+ Mesures de Monge-Amp�re et mesures pluriharmoniques 1987 Jean-Pierre Demailly
2