Please use this identifier to cite or link to this item: doi:10.22028/D291-26507
Title: Estimates of the second-order derivatives for solutions to the two-phase parabolic problem
Author(s): Apushkinskaya, Darya
Uraltseva, Nina
Language: English
Year of Publication: 2008
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: The L_{\infty}-estimates of the second derivatives for solutions of the parabolic free boundary problem with two phases \Delta u-\partial_{t}u=\lambda^{+}\chi_{\left\{ u>0\right\} }-\lambda^{-}\chi_{\left\{ u<0\right\} }\textrm{in }B_{1}^{+}\times]-1,0],\textrm{ }\lambda^{\pm}\geq0,\lambda^{+}+\lambda^{-}>0, satisfying the non-zero Dirichlet condition on \Pi_{1}:=\left\{ (x,t):\left|x\right|\leq1,x_{1}=0,-1<t\leq0\right\}, are proved.
Link to this record: urn:nbn:de:bsz:291-scidok-47555
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 225
Date of registration: 5-Jun-2013
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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