Growth estimates and blow-up in quasilinear parabolic problems

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Publisher： Taylor & Francis Ltd

ISSN： 0003-6811

Source： Applicable Analysis, Vol.86, Iss.2, 2007-02, pp. : 261-268

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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.

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