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Singular limit of changing sign solutions of the porous medium equation

Singular limit of changing sign solutions of the porous medium equation In this paper, we study the limit as $ m\to\infty $ of changing sign solutions of the porous medium equation: $ u_t=\Delta: \vert u\vert^{m-1}u $ in a domain $ \Omega $ of $ \mathbb{R}^N $ , with Dirichlet boundary condition. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Singular limit of changing sign solutions of the porous medium equation

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References (23)

Publisher
Springer Journals
Copyright
Copyright © 2003 by Birkhäuser Verlag Basel,
Subject
Mathematics; Analysis
ISSN
1424-3199
DOI
10.1007/s00028-003-0088-9
Publisher site
See Article on Publisher Site

Abstract

In this paper, we study the limit as $ m\to\infty $ of changing sign solutions of the porous medium equation: $ u_t=\Delta: \vert u\vert^{m-1}u $ in a domain $ \Omega $ of $ \mathbb{R}^N $ , with Dirichlet boundary condition.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Jun 1, 2003

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