On a parabolic equation related to the p-Laplacian

被引:13
作者
Zhan, Huashui [1 ]
机构
[1] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Peoples R China
关键词
p-Laplacian; boundary degeneracy; stability;
D O I
10.1186/s13661-016-0587-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Consider a parabolic equation related to the p-Laplacian. If the diffusion coefficient of the equation is degenerate on the boundary, no matter we can define the trace of the solution on the boundary or not, by choosing a suitable test function, the stability of the solutions always can be established without a boundary condition.
引用
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页数:8
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