We develop a regularity theory for integro-differential equations with kernels deforming in space like sections of a convex solution of a Monge–Ampère equation. We prove an ABP estimate and a Harnack inequality, and derive Hölder and (Formula presented.) regularity results for solutions.
|Original language||English (US)|
|Number of pages||25|
|Journal||Communications in Partial Differential Equations|
|State||Published - Aug 2 2020|
Bibliographical noteGenerated from Scopus record by KAUST IRTS on 2023-02-15
ASJC Scopus subject areas
- Applied Mathematics