A parabolic Harnack inequality for a nonlocal in time diffusion equation
 
 
Description:  Nonlocal PDEs have gathered a lot of interest during the last years. In particular, the fractional Laplacian and its generalizations have been studied extensively recently. In this talk we will discuss a different kind of nonlocal equation: namely a parabolic diffusion model where the nonlocal operator is in time instead of space. This kind of equations arise in physics as a random walk model for anomalous diffusion. They have also been used to model diffusion on fractals as well as heat conduction with memory. The talk will consider a recent result concerning the Harnack inequality for weak solutions of the so called time-fractional heat equation.
Date:  2014-04-09
Start Time:   15:30
Speaker:  Juhana Siljander (Univ. Helsinki, Finland)
Institution:  University of Helsinki, Finland
Place:  Sala 5.5
Research Groups: -Analysis
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