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Volume 32, Issue 1
On a Nonlinear Heat Equation with Degeneracy on the Boundary

Huashui Zhan

DOI: 10.4208/jpde.v32.n1.2

J. Part. Diff. Eq., 32 (2019), pp. 20-32.

Published online: 2019-04

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  • 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.

  • Keywords

Nonlinear heat equation weak solution stability, initial value.

  • AMS Subject Headings

35L65 35R35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

2012111007@xmut.edu.cn (Huashui Zhan)

  • BibTex
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  • TXT
@Article{JPDE-32-20, author = {Zhan , Huashui}, title = {On a Nonlinear Heat Equation with Degeneracy on the Boundary}, journal = {Journal of Partial Differential Equations}, year = {2019}, volume = {32}, number = {1}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v32.n1.2}, url = {http://global-sci.org/intro/article_detail/jpde/13120.html} }
TY - JOUR T1 - On a Nonlinear Heat Equation with Degeneracy on the Boundary AU - Zhan , Huashui JO - Journal of Partial Differential Equations VL - 1 SP - 20 EP - 32 PY - 2019 DA - 2019/04 SN - 32 DO - http://doi.org/10.4208/jpde.v32.n1.2 UR - https://global-sci.org/intro/article_detail/jpde/13120.html KW - Nonlinear heat equation KW - weak solution KW - stability, initial value. AB -

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.

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