An unstable elliptic free boundary problem arising in solid combustion
نویسندگان
چکیده
منابع مشابه
An Unstable Elliptic Free Boundary Problem arising in Solid Combustion
We prove a regularity result for the unstable elliptic free boundary problem ∆u = −χ{u>0} (0.1) 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|{u>0}, u|{u<0} are locally analytic functions. Moreover we prove a partial regularity result for solutio...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2007
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-07-13624-x