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Obstacle problem for nonlinear parabolic equations
Authors:Riikka Korte  Tuomo Kuusi
Affiliation:a Department of Mathematics and Statistics, University of Helsinki, PO Box 68, FI-00014 University of Helsinki, Finland
b Institute of Mathematics, PO Box 1100, FI-02015 Helsinki University of Technology, Finland
Abstract:We show the existence of a continuous solution to a nonlinear parabolic obstacle problem with a continuous time-dependent obstacle. The solution is constructed by an adaptation of the Schwarz alternating method. Moreover, if the obstacle is Hölder continuous, we prove that the solution inherits the same property.
Keywords:primary, 35K55   secondary, 35D05, 31C05, 31C45
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