TY - GEN
T1 - Regularity of a free boundary in parabolic problem without sign restriction
A1 - Apushkinskaya,Darya
A1 - Matevosyan,Norayr
A1 - Uraltseva,Nina
Y1 - 2012/03/13
N2 - A parabolic obstacle-type problem without sigh restriction on a solution is considered. An exact representation of the global solutions (i.e., solutions in the entire half-space \{(x,t)\in\mathbb{R}^{n+1}:x_{1}<0\}) is found. It is proved, without any additional assumptions on a free boundary, that near the fixed boundary where the homogeneous Dirichlet condition is fulfilled, the boundary of the ';noncoincidence set'; is the graph of a Lipschitz function.
CY - Saarbrücken
PB - Saarländische Universitäts- und Landesbibliothek
AD - Postfach 151141, 66041 Saarbrücken
UR - http://scidok.sulb.uni-saarland.de/volltexte/2012/4674
ER -