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Fully nonlinear integro-differential equations with deforming kernels

Rafayel Teymurazyan
Institution: 
Universidade de Coimbra, Portugal
Location: 
Luigi Stasi Seminar Room, ICTP
Schedule: 
Friday, December 13, 2019 - 16:00
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.

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