For more information about this meeting, contact Leonid Berlyand, Mark Levi, Alexei Novikov.
| Title: | Existence and regularity for a class of degenerate diffusions arising in population genetics |
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| Seminar: | Applied Analysis Seminar |
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| Speaker: | Charles L. Epstein, University of Pennsylvania |
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| Abstract: |
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| Infinite population limits of standard Markov chain models lead to Markov processes on
polyhedral domains that are formally generated by degenerate elliptic operators. These
operators are characterized, in part, by the first order vanishing, along the boundary,
of the coefficient of the second normal derivative term. This fact places these operators
beyond those which have thus far been successfully analyzed using methods of geometric
analysis. I will present an approach to these operators, which I have been pursuing with
Rafe Mazzeo, based on an-isotropic Holder spaces, which leads to a rather complete existence,
uniqueness and regularity theory. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 11 / 29 / 2011 |
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| Time: | 04:00pm - 05:00pm |
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