Li Zhang, Ning Su
In this article, we consider the exterior problem for the nonlinear degenerate parabolic equation
is the exterior domain of (a closed bounded domain in with its boundary ), is non-decreasing and Lipschitz continuous, is vectorial continuous, and F is Lipschitz continuous. In the nonhomogeneous boundary condition where on , we establish the comparison and uniqueness, the existence using penalized method.
Submitted January 29, 2015. Published March 18, 2016.
Math Subject Classifications: 35K55, 35K65.
Key Words: Degenerate parabolic equation; exterior problem; nonlinear; entropy solution.
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| Li Zhang |
Hangzhou Dianzi University
Hangzhou 310018, China
| Ning Su |
Department of Mathematical Sciences
Beijing 100084, China
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