Geometric regularity theory for a time-dependent Isaacs equation

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 condit...

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Bibliographic Details
Published in:Nonlinear differential equations and applications 2022-03, Vol.29 (2), Article 15
Main Authors: Andrade, Pêdra D. S., Rampasso, Giane C., Santos, Makson S.
Format: Article
Language:English
Subjects:
Analysis
Approximation
Mathematics
Mathematics and Statistics
Regularity
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Summary: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 Hölder spaces.
ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-022-00752-9