The uniqueness of a nonlinear diffusion equation related to the p-Laplacian

被引：7

作者：

Zhan, Huashui ^{[1
]}

机构：

[1] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

关键词：

p-Laplacian; diffusion coefficient; boundary value condition; uniqueness;

D O I：

10.1186/s13660-017-1596-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a nonlinear diffusion equation related to the p-Laplacian. Different from the usual evolutionary p-Laplacian equation, the equation is degenerate on the boundary due to the fact that the diffusion coefficient is dependent on the distance function. Not only the existence of the weak solution is established, but also the uniqueness of the weak solution is proved.

引用

页数：14

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