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arXiv · 2004.13806

Geometric regularity theory for a time-dependent Isaacs equation

Pêdra D. S. Andrade·Giane C. Rampasso·Makson S. Santos
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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.

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Pêdra D. S. Andrade, Giane C. Rampasso, Makson S. Santos. 2020-04-28. Geometric regularity theory for a time-dependent Isaacs equation. https://arxiv.org/abs/2004.13806

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