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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Veröffentlicht in:arXiv.org 2022-01
Hauptverfasser: Andrade, Pêdra D S, Rampasso, Giane C, Santos, Makson S
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422