Benny Avelin

Boundary Estimates for Certain Degenerate and Singular Parabolic Equations

Avelin, Benny; Gianazza, Ugo; Salsa, Sandro

Part of Journal of the European Mathematical Society (Print), p. 381-424, 2016

• DOI for Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
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Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains

Avelin, Benny; Nyström, Kaj

Part of Journal of Functional Analysis, p. 5955-6005, 2014

• DOI for Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains
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Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures

Avelin, Benny; Nyström, Kaj

Part of Nonlinear Analysis, p. 149-159, 2013

• DOI for Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
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Boundary Behavior of p-Laplace Type Equations

Avelin, Benny

2013

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Optimal doubling, Reifenberg flatness and operators of p-Laplace type

Avelin, Benny; Lundström, Niklas L.P; Nyström, Kaj

Part of Nonlinear Analysis, p. 5943-5955, 2011

• DOI for Optimal doubling, Reifenberg flatness and operators of p-Laplace type
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Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains

Avelin, Benny; Hed, Lisa; Persson, Håkan

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1D stochastic pressure equation with log-correlated Gaussian coefficients

Avelin, Benny; Kuusi, Tuomo; Nummi, Patrik; Saksman, Eero et al.

Part of Stochastic Processes and their Applications, 2026

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Exploring singularities in data with the graph Laplacian: An explicit approach

Andersson, Martin; Avelin, Benny

Part of Journal of Computational Mathematics and Data Science, 2025

• DOI for Exploring singularities in data with the graph Laplacian: An explicit approach
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Weak and Perron Solutions for Stationary Kramers-Fokker-Planck Equations in Bounded Domains

Avelin, Benny; Hou, Mingyi

Part of Potential Analysis, 2025

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Approximation of BV functions by neural networks: A regularity theory approach

Avelin, Benny; Julin, Vesa

Part of Analysis and Applications, p. 1178-1179, 2025

• DOI for Approximation of BV functions by neural networks: A regularity theory approach

Renormalized stochastic pressure equation with log-correlated Gaussian coefficients

Avelin, Benny; Kuusi, Tuomo; Nummi, Patrik; Saksman, Eero et al.

Part of Journal of Differential Equations, 2025

• DOI for Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
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1D stochastic pressure equation with log-correlated Gaussian coefficients

Avelin, Benny; Kuusi, Tuomo; Nummi, Patrik; Saksman, Eero et al.

Part of Stochastic Processes and their Applications, 2026

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Exploring singularities in data with the graph Laplacian: An explicit approach

Andersson, Martin; Avelin, Benny

Part of Journal of Computational Mathematics and Data Science, 2025

• DOI for Exploring singularities in data with the graph Laplacian: An explicit approach
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Weak and Perron Solutions for Stationary Kramers-Fokker-Planck Equations in Bounded Domains

Avelin, Benny; Hou, Mingyi

Part of Potential Analysis, 2025

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Approximation of BV functions by neural networks: A regularity theory approach

Avelin, Benny; Julin, Vesa

Part of Analysis and Applications, p. 1178-1179, 2025

• DOI for Approximation of BV functions by neural networks: A regularity theory approach

Renormalized stochastic pressure equation with log-correlated Gaussian coefficients

Avelin, Benny; Kuusi, Tuomo; Nummi, Patrik; Saksman, Eero et al.

Part of Journal of Differential Equations, 2025

• DOI for Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
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A Galerkin type method for kinetic Fokker-Planck equations based on Hermite expansions

Avelin, Benny; Hou, Mingyi; Nyström, Kaj

Part of Kinetic and Related Models, p. 634-658, 2024

• DOI for A Galerkin type method for kinetic Fokker-Planck equations based on Hermite expansions

A note on the capacity estimate in metastability for generic configurations

Avelin, Benny; Julin, Vesa

Part of Manuscripta mathematica, p. 245-266, 2024

• DOI for A note on the capacity estimate in metastability for generic configurations
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Geometric Characterization of the Eyring-Kramers Formula

Avelin, Benny; Julin, Vesa; Viitasaari, Lauri

Part of Communications in Mathematical Physics, p. 401-437, 2023

• DOI for Geometric Characterization of the Eyring-Kramers Formula
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Deep Limits and a Cut-Off Phenomenon for Neural Networks

Avelin, Benny; Karlsson, Anders

Part of Journal of machine learning research, 2022

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Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI

Langner, Taro; Gustafsson, Fredrik K.; Avelin, Benny; Strand, Robin et al.

Part of Computerized Medical Imaging and Graphics, 2021

• DOI for Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI
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Neural ODEs as the deep limit of ResNets with constant weights

Avelin, Benny; Nyström, Kaj

Part of Analysis and Applications, p. 397-437, 2021

• DOI for Neural ODEs as the deep limit of ResNets with constant weights

ON EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

Avelin, Benny; Viitasaari, L.

Part of THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, p. 49-60, 2021

• DOI for ON EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

Boundary behavior of solutions to the parabolic p-Laplace equation II

Avelin, Benny

Part of Journal of Functional Analysis, 2020

• DOI for Boundary behavior of solutions to the parabolic p-Laplace equation II

Boundary behavior of solutions to the parabolic p-Laplace equation

Avelin, Benny; Kuusi, Tuomo; Nyström, Kaj

Part of Analysis & PDE, p. 1-42, 2019

• DOI for Boundary behavior of solutions to the parabolic p-Laplace equation
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Nonlinear Caldern-Zygmund Theory in the Limiting Case

Avelin, Benny; Kuusi, Tuomo; Mingione, Giuseppe

Part of Archive for Rational Mechanics and Analysis, p. 663-714, 2018

• DOI for Nonlinear Caldern-Zygmund Theory in the Limiting Case

Characterizations of interior polar sets for the degenerate p-parabolic equation

Avelin, Benny; Saari, Olli

Part of Journal of evolution equations (Printed ed.), p. 827-848, 2017

• DOI for Characterizations of interior polar sets for the degenerate p-parabolic equation

A comparison principle for the porous medium equation and its consequences

Avelin, Benny; Lukkari, Teemu

Part of Revista matemática iberoamericana, p. 573-594, 2017

• DOI for A comparison principle for the porous medium equation and its consequences

A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term

Avelin, Benny; Julin, Vesa

Part of Journal of Functional Analysis, p. 3176-3215, 2017

• DOI for A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term

Boundary Estimates for Certain Degenerate and Singular Parabolic Equations

Avelin, Benny; Gianazza, Ugo; Salsa, Sandro

Part of Journal of the European Mathematical Society (Print), p. 381-424, 2016

• DOI for Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
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Approximation of plurisubharmonic functions

Avelin, Benny; Hed, Lisa; Persson, Håkan

Part of Complex Variables and Elliptic Equations, p. 23-28, 2016

• DOI for Approximation of plurisubharmonic functions

On time dependent domains for the degenerate p-parabolic equation: Carleson estimate and Holder continuity

Avelin, Benny

Part of Mathematische Annalen, p. 667-686, 2016

• DOI for On time dependent domains for the degenerate p-parabolic equation: Carleson estimate and Holder continuity

A note on the hyperconvexity of pseudoconvex domains beyond Lipschitz regularity

Avelin, Benny; Hed, Lisa; Persson, Håkan

Part of Potential Analysis, p. 531-545, 2015

• DOI for A note on the hyperconvexity of pseudoconvex domains beyond Lipschitz regularity

Lower semicontinuity of weak supersolutions to the porous medium equation

Avelin, Benny; Lukkari, Teemu

Part of Proceedings of the American Mathematical Society, p. 3475-3486, 2015

• DOI for Lower semicontinuity of weak supersolutions to the porous medium equation

Harnack estimates for degenerate parabolic equations modeled on the subelliptic $p-$Laplacian

Avelin, Benny; Capogna, Luca; Citti, Giovanna; Nyström, Kaj

Part of Advances in Mathematics, p. 25-65, 2014

• DOI for Harnack estimates for degenerate parabolic equations modeled on the subelliptic $p-$Laplacian
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Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains

Avelin, Benny; Nyström, Kaj

Part of Journal of Functional Analysis, p. 5955-6005, 2014

• DOI for Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains
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Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures

Avelin, Benny; Nyström, Kaj

Part of Nonlinear Analysis, p. 149-159, 2013

• DOI for Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
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On a one-phase free boundary problem

Avelin, Benny

Part of Annales Academiae Scientiarum Fennicae Mathematica, p. 181-191, 2013

• DOI for On a one-phase free boundary problem
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Boundary estimates for solutions to operators of $p$-Laplace type with lower order terms

Avelin, Benny; Lundström, Niklas L. P.; Nyström, Kaj

Part of Journal of Differential Equations, p. 264-291, 2011

• DOI for Boundary estimates for solutions to operators of $p$-Laplace type with lower order terms

Optimal doubling, Reifenberg flatness and operators of p-Laplace type

Avelin, Benny; Lundström, Niklas L.P; Nyström, Kaj

Part of Nonlinear Analysis, p. 5943-5955, 2011

• DOI for Optimal doubling, Reifenberg flatness and operators of p-Laplace type
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Boundary Behavior of p-Laplace Type Equations

Avelin, Benny

2013

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Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains

Avelin, Benny; Hed, Lisa; Persson, Håkan

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On the Effectiveness of Classical Regression Methods for Optimal Switching Problems

Andersson, Martin; Avelin, Benny; Olofsson, Marcus

• DOI for On the Effectiveness of Classical Regression Methods for Optimal Switching Problems

Non-parametric estimation of non-linear diffusion coefficient in parabolic SPDEs

Andersson, Martin; Avelin, Benny; Viitasaari, Lauri; Garino, Valentin et al.

• DOI for Non-parametric estimation of non-linear diffusion coefficient in parabolic SPDEs