Article
MSC:
35B09,
35B44,
35B45,
35B53,
35J61,
35K59 | MR 2782767 | Zbl 1224.35013 | DOI: 10.1007/s10587-011-0005-2
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Keywords:
a priori estimates; Liouville theorems; blow-up rate; positive solution; indefinite parabolic problem
a priori estimates; Liouville theorems; blow-up rate; positive solution; indefinite parabolic problem
Summary:
In this paper we establish new nonlinear Liouville theorems for parabolic problems on half spaces. Based on the Liouville theorems, we derive estimates for the blow-up of positive solutions of indefinite parabolic problems and investigate the complete blow-up of these solutions. We also discuss a priori estimates for indefinite elliptic problems.
References:
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