On a Nonlinear Heat Equation with Degeneracy on the Boundary

Huashui Zhan

doi:10.4208/jpde.v32.n1.2

On a Nonlinear Heat Equation with Degeneracy on the Boundary

Authors

Huashui Zhan School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, China

DOI:

https://doi.org/10.4208/jpde.v32.n1.2

Keywords:

Nonlinear heat equation;weak solution;stability, initial value.

Abstract

The paper studies the stability of weak solutions of a nonlinear heat equation with degenerate on the boundary. A new kind of weak solutions are introduced. By the new weak solution, the stability of weak solutions is proved only dependent on the initial value.

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Published

2019-04-12

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Issue

Vol. 32 No. 1 (2019)

Section

Articles

How to Cite

On a Nonlinear Heat Equation with Degeneracy on the Boundary. (2019). Journal of Partial Differential Equations, 32(1), 20-32. https://doi.org/10.4208/jpde.v32.n1.2