| 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 . |
| URI: | http : / /hdl .handle .net /2152 /ETD -UT -2010 -12 -2455 |
| Date: | 2011-12-21 |
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