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Regularity properties of parabolic nonlocal nonlinear equations

Date: 2022-11-24

Time: 15:00 - 16:00

Spekaer

Alireza Tavakoli

Abstract

In this talk I will discuss the fractional p- Laplace operator. The aim is to obtain Hölder regularity of solutions to a parabolic nonlocal diffusion problem with nonzero source term .The Hölder regularity is obtained by a perturbative method from the known case of the equation with zero source. Along the way a local boundedness result for such equations is also established.