Research Group:
Speaker:
Rafayel Teymurazyan
Institution:
Universidade de Coimbra, Portugal
Schedule:
Friday, December 13, 2019 - 16:00
Location:
Luigi Stasi Seminar Room, ICTP
Abstract:
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 $C^{1,\alpha}$ regularity results for solutions.
This is a joint with L. Caffarelli and J.M. Urbano.