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

Creator:
Földes, Juraj
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
a priori estimates, Liouville theorems, blow-up rate, positive solution, and indefinite parabolic problem
Language:
English
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.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public