Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 216, pp. 1-9.

Title: Blow-up of solutions for a system of nonlinear parabolic equations

Author: Shun-Tang Wu (National Taipei Univ. of Technology, Taipei, Taiwan)

Abstract:
 The initial boundary value problem for a system of parabolic equations in a
 bounded domain is considered. We prove that, under suitable conditions on
 the nonlinearity and certain initial data, the lower bound for the blow-up
 time is determined if blow-up does occur. In addition, a criterion for
 blow-up to occur and conditions which ensure that blow-up does not occur are
 established.

Submitted August 21, 2013. Published September 30, 2013.
Math Subject Classifications: 35K55, 35K60.
Key Words: Blow-up; lower bound of blow-up time; parabolic problem