Cordes-Nirenberg type results for non-local equations with deforming kernel

Speaker: Disson dos Prazeres

Universidade Federal de Sergipe (Brasil)

Date: Monday, June 12, 2023 at 12 Santiago time

Abstract: We derive Cordes-Nirenberg type results for nonlocal elliptic equations with deforming kernels using a compactness method.Under a natural integrability assumption for the Monge-Ampere solution, we are able to prove a stability lemma that allows the ellipticity class to vary. As a consequence, we get that the limit equation, up to a rotation, behaves like rough fractional Laplacians where the known regularity theory for this class of equation can be applied.

Joint work with A. Sobral and J.M. Urbano.

Venue: Online via Zoom / Sala de Seminarios, 5th floor, Beauchef 851
Chair: Rayssa Caju