Home >> Applicable Analysis, Volume 86, Number 2

Growth estimates and blow-up in quasilinear parabolic problems

Source: Applicable Analysis, Volume 86, Number 2, February 2007 , pp. 261-268(8)

Publisher: Taylor and Francis Ltd

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Abstract:

Growth estimate of positive solution for a quasilinear parabolic equation subject to Robin boundary condition is presented by the maximum principles. The growth estimate is then used to study blow-up of the solution of the problem. The bounds of 'blow-up time' and blow-up rate are obtained.

Keywords: 2000 Mathematics Subject Classifications: 35k55; 35k60; 35b45

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00036810601162027

Publication date: 2007-02-01

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