About the largest subsolution for a free boundary problem in R²
| Title: | About the largest subsolution for a free boundary problem in R² |
| Author: | Orcan, Betul |
| Abstract: | We analyze the geometry and regularity of the largest subsolution of a Free Boundary Problem. We showed that the largest subsolution is a viscosity solution of (1) with Lipschitz and Non-Degenerate properties under a very general free boundary condition. In addition to this, we provide density bounds for the positivity set and its complement near the free boundary. |
| Department: | Mathematics |
| Subject: |
Free Boundary Problem
Elliptic Largest subsolution |
| URI: | http://hdl.handle.net/2152/ETD-UT-2010-12-2455 |
| Date: | 2010-12 |
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