NONHOMOGENEOUS DIRICHLET PROBLEM FOR ANISOTROPIC DEGENERATE PARABOLIC-HYPERBOLIC EQUATIONS WITH SPATIALLY DEPENDENT SECOND ORDER OPERATOR
NONHOMOGENEOUS DIRICHLET PROBLEM FOR ANISOTROPIC DEGENERATE PARABOLIC-HYPERBOLIC EQUATIONS WITH SPATIALLY DEPENDENT SECOND ORDER OPERATOR
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具有空间相关二阶算子的各向异性简并抛物双曲方程的非齐次狄利克雷问题
DOI：
10.4134/bkms.b140810
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发表时间：
2016
影响因子：
0.5
通讯作者：
Qin Wang
中科院分区：
文献类型：
--
作者：
Qin Wang
利用Kružkov双变量装置的思想，最近在退化抛物-双曲型方程上取得了丰硕的成果。本文研究了具有空间相关二阶算子的退化抛物-双曲型方程的非齐次边界问题的适定性，这一问题目前尚未引起广泛的关注。新颖之处在于我们用边界通量三重而不是边界层来处理这个问题。
There are fruitful results on degenerate parabolic-hyperbolic equations recently following the idea of Kružkov’s doubling variables device. This paper is devoted to the well-posedness of nonhomogeneous boundary problem for degenerate parabolic-hyperbolic equations with spatially dependent second order operator, which has not caused much attention. The novelty is that we use the boundary flux triple instead of boundary layer to treat this problem.