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Asymptotics for a class of coupled fractional heat equations
Journal article   Peer reviewed

Asymptotics for a class of coupled fractional heat equations

Tarek Saanouni, Hanene Hezzi and Mohamed Elhafedh Mohamednour
Journal of elliptic and parabolic equations, Vol.4(1), pp.1-26
01/04/2018
DOI: https://doi.org/10.1007/s41808-017-0009-7

Abstract

Mathematics Physical Sciences Science & Technology
The initial value problem for some fractional coupled nonlinear heat equations is investigated. In the defocusing case, global well-posedness and exponential decay are established. In the focusing sign, global and non global existence of solutions are discussed via the potential well method.

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