Benny Avelin
Senior Lecturer/Associate Professor at Department of Mathematics; Academic staff
- Telephone:
- +46 18 471 32 26
- E-mail:
- benny.avelin@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480
751 06 UPPSALA
Download contact information for Benny Avelin at Department of Mathematics; Academic staff
Senior Lecturer/Associate Professor at Department of Mathematics; Analysis and Partial Differential Equations
- Telephone:
- +46 18 471 32 26
- E-mail:
- benny.avelin@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480
751 06 UPPSALA
Senior Lecturer/Associate Professor at Department of Mathematics; Statistics, AI and Data Science
- Telephone:
- +46 18 471 32 26
- E-mail:
- benny.avelin@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480
751 06 UPPSALA
- Academic merits:
- Docent
Publications
Selection of publications
Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
Part of Journal of the European Mathematical Society (Print), p. 381-424, 2016
- DOI for Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
- Download full text (pdf) of Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains
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
- Download full text (pdf) of Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains
Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
Part of Nonlinear Analysis, p. 149-159, 2013
- DOI for Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
- Download full text (pdf) of Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
Boundary Behavior of p-Laplace Type Equations
2013
Optimal doubling, Reifenberg flatness and operators of p-Laplace type
Part of Nonlinear Analysis, p. 5943-5955, 2011
- DOI for Optimal doubling, Reifenberg flatness and operators of p-Laplace type
- Download full text (pdf) of Optimal doubling, Reifenberg flatness and operators of p-Laplace type
Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains
Recent publications
Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
Part of Journal of Differential Equations, 2025
- DOI for Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
- Download full text (pdf) of Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
A Galerkin type method for kinetic Fokker-Planck equations based on Hermite expansions
Part of Kinetic and Related Models, p. 634-658, 2024
A note on the capacity estimate in metastability for generic configurations
Part of Manuscripta mathematica, p. 245-266, 2024
- DOI for A note on the capacity estimate in metastability for generic configurations
- Download full text (pdf) of A note on the capacity estimate in metastability for generic configurations
Geometric Characterization of the Eyring-Kramers Formula
Part of Communications in Mathematical Physics, p. 401-437, 2023
- DOI for Geometric Characterization of the Eyring-Kramers Formula
- Download full text (pdf) of Geometric Characterization of the Eyring-Kramers Formula
Deep Limits and a Cut-Off Phenomenon for Neural Networks
Part of Journal of machine learning research, 2022
All publications
Articles in journal
Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
Part of Journal of Differential Equations, 2025
- DOI for Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
- Download full text (pdf) of Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
A Galerkin type method for kinetic Fokker-Planck equations based on Hermite expansions
Part of Kinetic and Related Models, p. 634-658, 2024
A note on the capacity estimate in metastability for generic configurations
Part of Manuscripta mathematica, p. 245-266, 2024
- DOI for A note on the capacity estimate in metastability for generic configurations
- Download full text (pdf) of A note on the capacity estimate in metastability for generic configurations
Geometric Characterization of the Eyring-Kramers Formula
Part of Communications in Mathematical Physics, p. 401-437, 2023
- DOI for Geometric Characterization of the Eyring-Kramers Formula
- Download full text (pdf) of Geometric Characterization of the Eyring-Kramers Formula
Deep Limits and a Cut-Off Phenomenon for Neural Networks
Part of Journal of machine learning research, 2022
Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI
Part of Computerized Medical Imaging and Graphics, 2021
- DOI for Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI
- Download full text (pdf) of Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI
Neural ODEs as the deep limit of ResNets with constant weights
Part of Analysis and Applications, p. 397-437, 2021
ON EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
Part of THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, p. 49-60, 2021
Boundary behavior of solutions to the parabolic p-Laplace equation II
Part of Journal of Functional Analysis, 2020
Boundary behavior of solutions to the parabolic p-Laplace equation
Part of Analysis & PDE, p. 1-42, 2019
- DOI for Boundary behavior of solutions to the parabolic p-Laplace equation
- Download full text (pdf) of Boundary behavior of solutions to the parabolic p-Laplace equation
Nonlinear Caldern-Zygmund Theory in the Limiting Case
Part of Archive for Rational Mechanics and Analysis, p. 663-714, 2018
Characterizations of interior polar sets for the degenerate p-parabolic equation
Part of Journal of evolution equations (Printed ed.), p. 827-848, 2017
A comparison principle for the porous medium equation and its consequences
Part of Revista matemática iberoamericana, p. 573-594, 2017
A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term
Part of Journal of Functional Analysis, p. 3176-3215, 2017
Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
Part of Journal of the European Mathematical Society (Print), p. 381-424, 2016
- DOI for Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
- Download full text (pdf) of Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
Approximation of plurisubharmonic functions
Part of Complex Variables and Elliptic Equations, p. 23-28, 2016
Part of Mathematische Annalen, p. 667-686, 2016
Lower semicontinuity of weak supersolutions to the porous medium equation
Part of Proceedings of the American Mathematical Society, p. 3475-3486, 2015
A note on the hyperconvexity of pseudoconvex domains beyond Lipschitz regularity
Part of Potential Analysis, p. 531-545, 2015
Harnack estimates for degenerate parabolic equations modeled on the subelliptic $p-$Laplacian
Part of Advances in Mathematics, p. 25-65, 2014
- DOI for Harnack estimates for degenerate parabolic equations modeled on the subelliptic $p-$Laplacian
- Download full text (pdf) of Harnack estimates for degenerate parabolic equations modeled on the subelliptic $p-$Laplacian
Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains
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
- Download full text (pdf) of Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains
Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
Part of Nonlinear Analysis, p. 149-159, 2013
- DOI for Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
- Download full text (pdf) of Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
On a one-phase free boundary problem
Part of Annales Academiae Scientiarum Fennicae Mathematica, p. 181-191, 2013
- DOI for On a one-phase free boundary problem
- Download full text (pdf) of On a one-phase free boundary problem
Boundary estimates for solutions to operators of $p$-Laplace type with lower order terms
Part of Journal of Differential Equations, p. 264-291, 2011
Optimal doubling, Reifenberg flatness and operators of p-Laplace type
Part of Nonlinear Analysis, p. 5943-5955, 2011
- DOI for Optimal doubling, Reifenberg flatness and operators of p-Laplace type
- Download full text (pdf) of Optimal doubling, Reifenberg flatness and operators of p-Laplace type