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.
KTH Royal Institute of Technology
University of Turin