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Regularity theory for the Isaacs equation through approximation methods.
- Source :
-
Annales de l'Institut Henri Poincaré C . Jan2019, Vol. 36 Issue 1, p53-74. 22p. - Publication Year :
- 2019
-
Abstract
- Abstract In this paper, we propose an approximation method to study the regularity of solutions to the Isaacs equation. This class of problems plays a paramount role in the regularity theory for fully nonlinear elliptic equations. First, it is a model-problem of a non-convex operator. In addition, the usual mechanisms to access regularity of solutions fall short in addressing these equations. We approximate an Isaacs equation by a Bellman one, and make assumptions on the latter to recover information for the former. Our techniques produce results in Sobolev and Hölder spaces; we also examine a few consequences of our main findings. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02941449
- Volume :
- 36
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Annales de l'Institut Henri Poincaré C
- Publication Type :
- Academic Journal
- Accession number :
- 133973057
- Full Text :
- https://doi.org/10.1016/j.anihpc.2018.03.010