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

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Very singular solutions to a nonlinear parabolic equation with absorption. I. Existence

Published:2001-02 Issue:1 Volume:131 Page:27-44
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 Said,Laurençot Philippe

Abstract

We prove the existence of a very singular solution to when 1 < p < (N + 2)/(N + 1).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 19 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. The very singular solution for the Anisotropic Fast Diffusion Equation and its consequences;Nonlinear Analysis;2024-08

2. Keller-Osserman estimates and removability result for the anisotropic porous medium equation with gradient absorption term;Mathematische Nachrichten;2018-10-05

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

4. estimates and uniqueness results for nonlinear parabolic equations with gradient absorption terms;Nonlinear Analysis: Theory, Methods & Applications;2013-11

5. Global existence and non-existence for the degenerate and uniformly parabolic equations with gradient term;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2013-05-22

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