The blow-up rate for positive solutions of indefinite parabolic problems and related Liouville type theorems

Authors
Xing," Ruixiang
Citation
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
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
25
Issue
3
Year of publication
2009
Pages
503 - 518
Database
ACNP
SICI code
Abstract
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.