Geometric regularity theory for a time-dependent Isaacs equation
Analysis of PDEs
2022-01-13 v4
Abstract
The purpose of this work is to produce a regularity theory for a class of parabolic Isaacs equations. Our techniques are based on approximation methods which allow us to connect our problem with a Bellman parabolic model. An approximation regime for the coefficients, combined with a smallness condition on the source term unlocks new regularity results in Sobolev and H\"older spaces.
Keywords
Cite
@article{arxiv.2004.13806,
title = {Geometric regularity theory for a time-dependent Isaacs equation},
author = {Pêdra D. S. Andrade and Giane C. Rampasso and Makson S. Santos},
journal= {arXiv preprint arXiv:2004.13806},
year = {2022}
}