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.

Keywords

• Critical Fujita exponent
• Asymptotic behavior
• Blow-up theorem