Extinction behavior of solutions for a quasilinear parabolic system with nonlocal sources

Pan Zheng, Chunlai Mu and Ya Tian

Applied Mathematics and Computation, 2015, vol. 259, issue C, 587-595

Abstract: This paper deals with the extinction properties of solutions for a quasilinear parabolic systemut=div(|∇u|p-2∇u)+∫Ωvα(x,t)dx,vt=div(|∇v|q-2∇v)+∫Ωuβ(x,t)dxwith zero Dirichlet boundary conditions in a smooth bounded domain Ω⊂RN(N⩾1), where 10. By using the comparison principle and energy estimate methods, we obtain the sufficient conditions of extinction solutions.

Keywords: Extinction; Quasilinear parabolic system; Nonlocal source (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:587-595

DOI: 10.1016/j.amc.2015.03.002

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