Benny Avelin
Universitetslektor vid Matematiska institutionen; Akademisk personal
- E-post:
- benny.avelin@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Regementsvägen 10
- Postadress:
- Box 524
751 20 UPPSALA
Ladda ned kontaktuppgifter för Benny Avelin vid Matematiska institutionen; Akademisk personal
Universitetslektor vid Matematiska institutionen; Analys och partiella differentialekvationer
- E-post:
- benny.avelin@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Regementsvägen 10
- Postadress:
- Box 524
751 20 UPPSALA
Universitetslektor vid Matematiska institutionen; Statistik, AI och data science
- E-post:
- benny.avelin@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Regementsvägen 10
- Postadress:
- Box 524
751 20 UPPSALA
- Akademiska meriter:
- Docent
Kort presentation
Personal Webpage https://bennyavelin.github.io/
Publikationer
Urval av publikationer
-
Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
Ingår i Journal of the European Mathematical Society (Print), s. 381-424, 2016
- DOI för Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
- Ladda ner fulltext (pdf) av Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
-
Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains
Ingår i Journal of Functional Analysis, s. 5955-6005, 2014
- DOI för Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains
- Ladda ner fulltext (pdf) av Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains
-
Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
Ingår i Nonlinear Analysis, s. 149-159, 2013
- DOI för Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
- Ladda ner fulltext (pdf) av 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
Ingår i Nonlinear Analysis, s. 5943-5955, 2011
- DOI för Optimal doubling, Reifenberg flatness and operators of p-Laplace type
- Ladda ner fulltext (pdf) av Optimal doubling, Reifenberg flatness and operators of p-Laplace type
-
Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains
Senaste publikationer
-
1D stochastic pressure equation with log-correlated Gaussian coefficients
Ingår i Stochastic Processes and their Applications, 2026
- DOI för 1D stochastic pressure equation with log-correlated Gaussian coefficients
- Ladda ner fulltext (pdf) av 1D stochastic pressure equation with log-correlated Gaussian coefficients
-
Exploring singularities in data with the graph Laplacian: An explicit approach
Ingår i Journal of Computational Mathematics and Data Science, 2025
- DOI för Exploring singularities in data with the graph Laplacian: An explicit approach
- Ladda ner fulltext (pdf) av Exploring singularities in data with the graph Laplacian: An explicit approach
-
Weak and Perron Solutions for Stationary Kramers-Fokker-Planck Equations in Bounded Domains
Ingår i Potential Analysis, 2025
- DOI för Weak and Perron Solutions for Stationary Kramers-Fokker-Planck Equations in Bounded Domains
- Ladda ner fulltext (pdf) av Weak and Perron Solutions for Stationary Kramers-Fokker-Planck Equations in Bounded Domains
-
Approximation of BV functions by neural networks: A regularity theory approach
Ingår i Analysis and Applications, s. 1178-1179, 2025
-
Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
Ingår i Journal of Differential Equations, 2025
- DOI för Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
- Ladda ner fulltext (pdf) av Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
Alla publikationer
Artiklar i tidskrift
-
1D stochastic pressure equation with log-correlated Gaussian coefficients
Ingår i Stochastic Processes and their Applications, 2026
- DOI för 1D stochastic pressure equation with log-correlated Gaussian coefficients
- Ladda ner fulltext (pdf) av 1D stochastic pressure equation with log-correlated Gaussian coefficients
-
Exploring singularities in data with the graph Laplacian: An explicit approach
Ingår i Journal of Computational Mathematics and Data Science, 2025
- DOI för Exploring singularities in data with the graph Laplacian: An explicit approach
- Ladda ner fulltext (pdf) av Exploring singularities in data with the graph Laplacian: An explicit approach
-
Weak and Perron Solutions for Stationary Kramers-Fokker-Planck Equations in Bounded Domains
Ingår i Potential Analysis, 2025
- DOI för Weak and Perron Solutions for Stationary Kramers-Fokker-Planck Equations in Bounded Domains
- Ladda ner fulltext (pdf) av Weak and Perron Solutions for Stationary Kramers-Fokker-Planck Equations in Bounded Domains
-
Approximation of BV functions by neural networks: A regularity theory approach
Ingår i Analysis and Applications, s. 1178-1179, 2025
-
Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
Ingår i Journal of Differential Equations, 2025
- DOI för Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
- Ladda ner fulltext (pdf) av Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
-
A Galerkin type method for kinetic Fokker-Planck equations based on Hermite expansions
Ingår i Kinetic and Related Models, s. 634-658, 2024
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A note on the capacity estimate in metastability for generic configurations
Ingår i Manuscripta mathematica, s. 245-266, 2024
- DOI för A note on the capacity estimate in metastability for generic configurations
- Ladda ner fulltext (pdf) av A note on the capacity estimate in metastability for generic configurations
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Geometric Characterization of the Eyring-Kramers Formula
Ingår i Communications in Mathematical Physics, s. 401-437, 2023
- DOI för Geometric Characterization of the Eyring-Kramers Formula
- Ladda ner fulltext (pdf) av Geometric Characterization of the Eyring-Kramers Formula
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Deep Limits and a Cut-Off Phenomenon for Neural Networks
Ingår i Journal of machine learning research, 2022
-
Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI
Ingår i Computerized Medical Imaging and Graphics, 2021
- DOI för Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI
- Ladda ner fulltext (pdf) av 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
Ingår i Analysis and Applications, s. 397-437, 2021
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ON EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
Ingår i THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, s. 49-60, 2021
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Boundary behavior of solutions to the parabolic p-Laplace equation II
Ingår i Journal of Functional Analysis, 2020
-
Boundary behavior of solutions to the parabolic p-Laplace equation
Ingår i Analysis & PDE, s. 1-42, 2019
- DOI för Boundary behavior of solutions to the parabolic p-Laplace equation
- Ladda ner fulltext (pdf) av Boundary behavior of solutions to the parabolic p-Laplace equation
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Nonlinear Caldern-Zygmund Theory in the Limiting Case
Ingår i Archive for Rational Mechanics and Analysis, s. 663-714, 2018
-
Characterizations of interior polar sets for the degenerate p-parabolic equation
Ingår i Journal of evolution equations (Printed ed.), s. 827-848, 2017
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A comparison principle for the porous medium equation and its consequences
Ingår i Revista matemática iberoamericana, s. 573-594, 2017
-
A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term
Ingår i Journal of Functional Analysis, s. 3176-3215, 2017
-
Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
Ingår i Journal of the European Mathematical Society (Print), s. 381-424, 2016
- DOI för Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
- Ladda ner fulltext (pdf) av Boundary Estimates for Certain Degenerate and Singular Parabolic Equations
-
Approximation of plurisubharmonic functions
Ingår i Complex Variables and Elliptic Equations, s. 23-28, 2016
-
Ingår i Mathematische Annalen, s. 667-686, 2016
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A note on the hyperconvexity of pseudoconvex domains beyond Lipschitz regularity
Ingår i Potential Analysis, s. 531-545, 2015
-
Lower semicontinuity of weak supersolutions to the porous medium equation
Ingår i Proceedings of the American Mathematical Society, s. 3475-3486, 2015
-
Harnack estimates for degenerate parabolic equations modeled on the subelliptic $p-$Laplacian
Ingår i Advances in Mathematics, s. 25-65, 2014
- DOI för Harnack estimates for degenerate parabolic equations modeled on the subelliptic $p-$Laplacian
- Ladda ner fulltext (pdf) av 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
Ingår i Journal of Functional Analysis, s. 5955-6005, 2014
- DOI för Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains
- Ladda ner fulltext (pdf) av Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains
-
Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
Ingår i Nonlinear Analysis, s. 149-159, 2013
- DOI för Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
- Ladda ner fulltext (pdf) av Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures
-
On a one-phase free boundary problem
Ingår i Annales Academiae Scientiarum Fennicae Mathematica, s. 181-191, 2013
- DOI för On a one-phase free boundary problem
- Ladda ner fulltext (pdf) av On a one-phase free boundary problem
-
Boundary estimates for solutions to operators of $p$-Laplace type with lower order terms
Ingår i Journal of Differential Equations, s. 264-291, 2011
-
Optimal doubling, Reifenberg flatness and operators of p-Laplace type
Ingår i Nonlinear Analysis, s. 5943-5955, 2011
- DOI för Optimal doubling, Reifenberg flatness and operators of p-Laplace type
- Ladda ner fulltext (pdf) av Optimal doubling, Reifenberg flatness and operators of p-Laplace type