Critical exponent for the asymptotic behavior of rescaled solutions to the porous medium equation

Date

2017-01-10

Authors

Wang, Liangwei
Yin, Jingxue

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we find that μc ≡ 2N/(N(m - 1) + 2) is the critical exponent for the asymptotic behavior of rescaled solutions tμ/2 u(tβx, t) for the porous medium equation.

Description

Keywords

Complexity, Asymptotic behavior, Porous medium equation

Citation

Wang, L., & Yin, J. (2017). Critical exponent for the asymptotic behavior of rescaled solutions to the porous medium equation. <i>Electronic Journal of Differential Equations, 2017</i>(10), pp. 1-10.

Rights

Attribution 4.0 International

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