Obstacle problem for nonlinear parabolic equations |
| |
| Authors: | Riikka Korte Tuomo Kuusi |
| |
| Institution: | 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 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
