| dc.contributor.advisor |
Caffarelli , Luis A . |
|
| dc.contributor.committeeMember |
Dawson , Clinton |
|
| dc.contributor.committeeMember |
Gamba , Irene |
|
| dc.contributor.committeeMember |
Souganidis , Panagiotis |
|
| dc.contributor.committeeMember |
Ying , Lexing |
|
| dc.creator |
Orcan , Betul |
|
| dc.date.accessioned |
2011 -12 -21T17 :04 :32Z |
|
| dc.date.available |
2011 -12 -21T17 :04 :32Z |
|
| dc.date.created |
2010 -12 |
|
| dc.date.issued |
2011 -12 -21 |
|
| dc.date.submitted |
December 2010 |
|
| dc.identifier.uri |
http : / /hdl .handle .net /2152 /ETD -UT -2010 -12 -2455 |
|
| dc.description.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 . |
|
| dc.format.mimetype |
application /pdf |
|
| dc.language.iso |
eng |
|
| dc.subject |
Free Boundary Problem |
|
| dc.subject |
Elliptic |
|
| dc.subject |
Largest subsolution |
|
| dc.title |
About the largest subsolution for a free boundary problem in R² |
|
| dc.description.department |
Mathematics |
|
| dc.type.genre |
thesis |
* |
| dc.type.material |
text |
* |
| thesis.degree.name |
Doctor of Philosophy |
|
| thesis.degree.level |
Doctoral |
|
| thesis.degree.discipline |
Mathematics |
|
| thesis.degree.grantor |
University of Texas at Austin |
|
| thesis.degree.department |
Mathematics |
|
| dc.date.updated |
2011 -12 -21T17 :04 :39Z |
|
| dc.identifier.slug |
2152 /ETD -UT -2010 -12 -2455 |
|