The Evans-Krylov theorem for nonlocal fully nonlinear equations
成果类型：
Article
署名作者：
Caffarell, Luis; Silvestre, Luis
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2011.174.2.9
发表日期：
2011
页码：
1163-1187
关键词：
摘要：
We prove a regularity result for solutions of a purely integro-differential Bellman equation. This regularity is enough for the solutions to be understood in the classical sense. If we let the order of the equation approach two, we recover the theorem of Evans and Krylov about the regularity of solutions to concave uniformly elliptic partial differential equations.