Xing," Ruixiang, The blow-up rate for positive solutions of indefinite parabolic problems and related Liouville type theorems, Acta mathematica Sinica. English series (Print) , 25(3), 2009, pp. 503-518
In this paper, we derive an upper bound estimate of the blow-up rate for positive solutions of indefinite parabolic equations from Liouville type theorems. We also use moving plane method to prove the related Liouville type theorems for semilinear parabolic problems.