Benny Avelin
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
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Short presentation
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Personal Webpage https://sites.google.com/site/bennyavelin/
Group Webpage Analysis, PDEs and Applications
Publications
Selection of publications
- Boundary Estimates for Certain Degenerate and Singular Parabolic Equations (2016)
- Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains (2014)
- Boundary Behavior of p-Laplace Type Equations (2013)
- Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures (2013)
- Optimal doubling, Reifenberg flatness and operators of p-Laplace type (2011)
- Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains
Recent publications
- Geometric Characterization of the Eyring-Kramers Formula (2023)
- Deep Limits and a Cut-Off Phenomenon for Neural Networks (2022)
- Neural ODEs as the deep limit of ResNets with constant weights (2021)
- ON EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS (2021)
- Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI (2021)
All publications
Articles
- Geometric Characterization of the Eyring-Kramers Formula (2023)
- Deep Limits and a Cut-Off Phenomenon for Neural Networks (2022)
- Neural ODEs as the deep limit of ResNets with constant weights (2021)
- ON EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS (2021)
- Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI (2021)
- Boundary behavior of solutions to the parabolic p-Laplace equation II (2020)
- Boundary behavior of solutions to the parabolic p-Laplace equation (2019)
- Nonlinear Caldern-Zygmund Theory in the Limiting Case (2018)
- A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term (2017)
- A comparison principle for the porous medium equation and its consequences (2017)
- Characterizations of interior polar sets for the degenerate p-parabolic equation (2017)
- On time dependent domains for the degenerate p-parabolic equation (2016)
- Boundary Estimates for Certain Degenerate and Singular Parabolic Equations (2016)
- Approximation of plurisubharmonic functions (2016)
- A note on the hyperconvexity of pseudoconvex domains beyond Lipschitz regularity (2015)
- Lower semicontinuity of weak supersolutions to the porous medium equation (2015)
- Harnack estimates for degenerate parabolic equations modeled on the subelliptic $p-$Laplacian (2014)
- Estimates for Solutions to Equations of p-Laplace type in Ahlfors regular NTA-domains (2014)
- On a one-phase free boundary problem (2013)
- Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measures (2013)
- Boundary estimates for solutions to operators of $p$-Laplace type with lower order terms (2011)
- Optimal doubling, Reifenberg flatness and operators of p-Laplace type (2011)
- Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains
Books
