Non-extinction of solutions to a fast diffusion system with nonlocal sources

Date

2016-02-10

Authors

Li, Haixia
Han, Yuzhu

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this short article, we give a positive answer to the problem proposed by Zheng et al [5], and show that the fast diffusion system ut = div(|∇u|p-2∇u) + ∫Ω vαdx, vt = div(|∇v|q-2∇v) + ∫Ωuβdx under homogeneous Dirichlet boundary condition admits at least one non-extinction solution when αβ < (p - 1)(q - 1) and the initial data are strictly positive.

Description

Keywords

Fast diffusion system, Nonlocal source, Non-extinction

Citation

Li, H., & Han, Y. (2016). Non-extinction of solutions to a fast diffusion system with nonlocal sources. <i>Electronic Journal of Differential Equations, 2016</i>(45), pp. 1-5.

Rights

Attribution 4.0 International

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