Li Zhang, Ning Su
Abstract:
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 Management School Hangzhou Dianzi University Hangzhou 310018, China email: zhli25@163.com | |
Ning Su Department of Mathematical Sciences Tsinghua University Beijing 100084, China email: nsu@math.tsinghua.edu.cn |
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