Regularity properties of parabolic nonlocal nonlinear equations

Geometric Aspects of Nonlinear Partial Differential Equations

24 November 15:00 - 16:00

Seyed Alireza Tavakoli - Uppsala University

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.
Panagiota Daskalopoulos
Columbia University
Alessio Figalli
ETH Zürich
Erik Lindgren
Uppsala University
Henrik Shahgholian
KTH Royal Institute of Technology
Susanna Terracini,
University of Turin


Erik Lindgren

Henrik Shahgholian


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