Please use this identifier to cite or link to this item: doi:10.22028/D291-26346
Title: Boundary estimates for solutions of the obstacle problem with two phases
Author(s): Apushkinskaya, Darya
Uraltseva, Nina
Language: English
Year of Publication: 2006
DDC notations: 510 Mathematics
Publikation type: Preprint
Abstract: 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.
Link to this record: urn:nbn:de:bsz:291-scidok-46707
hdl:20.500.11880/26402
http://dx.doi.org/10.22028/D291-26346
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 183
Date of registration: 13-Mar-2012
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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