Boundary Value Problems (Apr 2019)
Asymptotic behavior of solutions to a class of coupled nonlinear parabolic systems
Abstract
Abstract This paper studies the Cauchy problem to a class of coupled nonlinear parabolic systems and investigates the asymptotic behavior of solutions to the problem. The blow-up theorem of Fujita type is established by the integral estimation and suitable supersolutions. Moreover, the critical Fujita exponent determined by the diffusion and the spatial dimension is given.
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