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The blow-up rate for positive solutions of indefinite parabolic problems and related Liouville type theorems

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Abstract

In this paper, we derive an upper bound estimate of the blow-up rate for positive solutions of indefinite parabolic equations from Liouville type theorems. We also use moving plane method to prove the related Liouville type theorems for semilinear parabolic problems.

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  1. School of Mathematical Sciences, Sun Yat-sen University, Guangzhou, 510275, P. R. China

    Ruixiang Xing

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Xing, R. The blow-up rate for positive solutions of indefinite parabolic problems and related Liouville type theorems. Acta. Math. Sin.-English Ser. 25, 503–518 (2009). https://doi.org/10.1007/s10114-008-5615-8

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  • DOI: https://doi.org/10.1007/s10114-008-5615-8

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