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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.
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Date: |
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Start Time: |
15:30 |
Speaker: |
Juhana Siljander (Univ. Helsinki, Finland)
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Institution: |
University of Helsinki, Finland
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Place: |
Sala 5.5
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Research Groups: |
-Analysis
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See more:
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