TY  - GEN
T1  - Boundary estimates for solutions of the obstacle problem with two phases
A1  - Apushkinskaya,Darya
A1  - Uraltseva,Nina
Y1  - 2012/03/13
N2  - For weak solutions of the two-phase obstacle problem
\Delta u=\lambda^{+}\chi_{\{u>0\}}-\lambda^{-}\chi_{\{u<0\}} in B_{1}^{+}, \lambda^{\pm}\geq0, \lambda^{+}+\lambda^{-}>0,
satisfying the non-zero Dirichlet condition on the flat part of \partial B_{1}^{+}, we obtain the optimal regularity, i.e., we show that u is a W_{\infty}^{2}-function.
CY  - Saarbrücken
PB  - Universitäts- und Landesbibliothek
AD  - Postfach 151141, 66041 Saarbrücken
UR  - http://scidok.sulb.uni-saarland.de/volltexte/2012/4670
ER  -