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Seyed Alireza Tavakoli: Regularity properties of parabolic nonlocal nonlinear equations

Tid: To 2022-11-24 kl 15.00 - 16.00

Plats: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Videolänk: Meeting ID: 921 756 1880

Föreläsare: Seyed Alireza Tavakoli - Uppsala University

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.