Very singular solutions to a nonlinear parabolic equation with absorption II. Uniqueness-Reference-Cited by-同舟云学术

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Very singular solutions to a nonlinear parabolic equation with absorption II. Uniqueness

Published:2004-02 Issue:1 Volume:134 Page:39-54
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Benachour Saïd,Koch Herbert,Laurençot Philippe

Abstract

We prove the uniqueness of the very singular solution to when 1 < p < (N + 2)/(N + 1), thus completing the previous result by Qi and Wang, restricted to self-similar solutions.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Asymptotic behavior for a singular diffusion equation with gradient absorption;Journal of Differential Equations;2014-04

2. Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption;Journal of the London Mathematical Society;2012-11-29

3. Complete classification of shape functions of self-similar solutions;Journal of Mathematical Analysis and Applications;2007-06

4. General nonlocal diffusion–convection mean field models: Nonexistence of global solutions;Physica A: Statistical Mechanics and its Applications;2007-06

5. Asymptotic behavior for a viscous Hamilton-Jacobi equation with critical exponent;Indiana University Mathematics Journal;2007

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