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March 20, 2019 | 1:00 p.m. - 2:00 p.m.
Category: Seminar
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free
Where: Nelson Room
 
Speaker: Russel Schwab (Michigan State University)
 
Title: An equivalence between some free boundary evolutions and fractional integro-differential parabolic equations.
 
Abstract: We will give a little bit of background and recent history of fractional order parabolic equations, and then we will explain a recent result the gives an equivalence between some free boundary evolutions and solutions to these parabolic integro-differential equations.  This is not the first work to relate a free boundary boundary problem to a heat equation driven by an operator that is either similar to or exactly a fractional power of the Laplacian, but we provide a new approach.  The operator that drives the free boundary flow can be thought of as a nonlinear version of the Dirichlet-to-Neumann map and we give a construction that builds this operator out of a min-max of linear operators the are comparable to the fractional Laplacian with a drift.  This is joint work with Nestor Guillen and Héctor Chang Lara.
For more information about this event, please contact Department of Mathematics at 3135772479 or math@wayne.edu.