Electron. J. Diff. Eqns., Vol. 2006(2006), No. 94, pp. 1-8.

A blow up condition for a nonautonomous semilinear system

Aroldo Perez-Perez

Abstract:
We give a sufficient condition for finite time blow up of the nonnegative mild solution to a nonautonomous weakly coupled system with fractal diffusion having a time dependent factor which is continuous and nonnegative.

Submitted July 14, 2006. Published August 18, 2006.
Math Subject Classifications: 35B40, 35K45, 35K55, 35K57.
Key Words: Finite time blow up; mild solution; weakly coupled system; nonautonomous initial value problem; fractal diffusion.

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Aroldo Pérez-Pérez
División Académica de Ciencias Básicas
Universidad Juárez Autónoma de Tabasco
Km. 1 Carretera Cunduacán-Jalpa de Méndez
C.P. 86690 A.P. 24, Cunduacán, Tabasco, México
email: aroldo.perez@dacb.ujat.mx

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