On a Nonlinear Heat Equation with Degeneracy on the Boundary

On a Nonlinear Heat Equation with Degeneracy on the Boundary

Year:    2019

Author:    Huashui Zhan

Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 1 : pp. 20–32

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 1 : pp. 20–32

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Nonlinear heat equation

Author Details

Huashui Zhan