Abdeslem Lyaghfouri (King Fahd University and Fields Institute) - A Class of Elliptic Free Boundary Problems
Mathematics - Colloquium
| Date & Time: |
Friday, December 4, 2009 11:00 AM-12:00 PM |
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| Suggested Audiences: | Adult, College | |
| Location: Find Local Food & Accommodations |
WPI: Stratton Hall 203 100 Institute Road Worcester, MA 01609-2280 |
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| Description: | ABSTRACT: In this talk I will consider the following class of elliptic free boundary problems $Lu=-div(\chi(u)H(X))$, where $u$ and $\chi$ are nonnegative functions, $\chi=1$ a.e. in $[u>0]$, $L$ is a second order linear elliptic operator, $H=(H_1,H_2)$ is a vector function, and $X=(x,y)$. When $H_1=0$ and $H_2$ is nondecreasing with respect to $y$, the free boundary $\partial[u>0]$ is the graph of a continuous curve $y=\Phi(x)$. I will discuss the situation when $H$ is a Lipschitz vector function with nonnegative divergence and show that the free boundary $\partial[u>0]$ can be represented locally by a family of continuous functions. This is a joint work with S. Challal. |
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| More Information: |
E-mail:
ma-chair@wpi.edu
Entered by: WPI: Mathematical Sciences Department |
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Created: November 5, 2009 at 11:25 AM
Last Modified: November 10, 2009 at 4:09 PM
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