An Unstable Elliptic Free Boundary Problem arising in Solid Combustion
| dc.creator | Monneau, Regis | |
| dc.creator | Weiss, G. S. | |
| dc.date | 2005-07-15 | |
| dc.date.accessioned | 2026-07-07T05:21:44Z | |
| dc.date.available | 2026-07-07T05:21:44Z | |
| dc.description | We prove a regularity result for the unstable elliptic free boundary problem $Δu = -χ_{\{u>0\}}$ related to traveling waves in a problem arising in solid combustion. The maximal solution and every local minimizer of the energy are regular, that is, $\{u=0\}$ is locally an analytic surface and $u|_{\bar{\{u>0\}}}, u|_{\bar{\{u<0\}}}$ are locally analytic functions. Moreover we prove a partial regularity result for solutions that are non-degenerate of second order: here $\{u=0\}$ is analytic up to a closed set of Hausdorff dimension $n-2$. We discuss possible singularities. | |
| dc.identifier | https://arxiv.org/abs/math/0507315 | |
| dc.identifier | http://arxiv.org/abs/math/0507315 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75796 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35R35; 35J60 | |
| dc.title | An Unstable Elliptic Free Boundary Problem arising in Solid Combustion | |
| dc.type | text |