Open Access Research

Complicated asymptotic behavior of solutions for a porous medium equation with nonlinear sources

Liangwei Wang1* and Jingxue Yin2

Author Affiliations

1 School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, China

2 School of Mathematical Sciences, South China Normal University, Guangzhou, China

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Boundary Value Problems 2013, 2013:35 doi:10.1186/1687-2770-2013-35

Published: 21 February 2013

Abstract

In this paper, we investigate the complicated asymptotic behavior of the solutions to the Cauchy problem of a porous medium equation with nonlinear sources when the initial value belongs to a weighted <a onClick="popup('http://www.boundaryvalueproblems.com/content/2013/1/35/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2013/1/35/mathml/M1">View MathML</a> space.

AMS Subject Classification: 35K55, 35B40.

Keywords:
complexity; asymptotic behavior; porous medium equation