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Blow-up solutions and global solutions for a class of quasilinear parabolic equations with robin boundary conditions

✍ Scribed by Juntang Ding; Shengjia Li

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
506 KB
Volume
49
Category
Article
ISSN
0898-1221

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✦ Synopsis

The type of problem under consideration is

where D is a smooth bounded domain of R N, By constructing an auxiliary function and using Hopf's maximum principles on it, existence theorems of blow-up solutions, upper bound of "blow-up time", upper estimates of "blow-up rate", existence theorems of global solutions and upper estimates of global solutions are given under suitable assumptions on a, b, f, g, ~, and initial data uo(x). The obtained results are applied to some examples in which a, b, f, g, and Β’r are power functions or exponential functions. @ 2005 Elsevier Ltd. All rights reserved.

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