Obstacle problem for nonlinear parabolic equations |
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| Authors: | Riikka Korte Tuomo Kuusi |
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| 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 |
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| 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. |
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| Keywords: | primary, 35K55 secondary, 35D05, 31C05, 31C45 |
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