3 papers
math.AP2019
Degenerate nonlinear parabolic equations with discontinuous diffusion coefficients
Dohyun Kwon, Alpár Richárd Mészáros
This paper is devoted to the study of some nonlinear parabolic equations with discontinuous diffusion intensities. Such problems appear naturally in physical and biological models.…
math.AP2019
Weak solutions to the Muskat problem with surface tension via optimal transport
Matt Jacobs, Inwon Kim, Alpár R. Mészáros
Inspired by recent works on the threshold dynamics scheme for multi-phase mean curvature flow (by Esedoglu-Otto and Laux-Otto), we introduce a novel framework to approximate soluti…
math.AP2017
Sobolev regularity for first order Mean Field Games
P. Jameson Graber, Alpár R. Mészáros
In this paper we obtain Sobolev estimates for weak solutions of first oder variational Mean Field Game systems with coupling terms that are local function of the density variable.…