Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems

Title:

Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems

Creator:

Földes, Juraj

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:b19d06de-b59b-4ca3-a9c8-9fbace4f3eed
uuid:b19d06de-b59b-4ca3-a9c8-9fbace4f3eed

Subject:

a priori estimates, Liouville theorems, blow-up rate, positive solution, and indefinite parabolic problem

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

169-198

Source:

Czechoslovak Mathematical Journal | 2011 Volume:61 | Number:1

Harvested from:

CDK

Metadata only:

false