Blow-up for parabolic equations and systems with nonnegative potential

Yung-Jen Lin, Masahiko Shimojo

研究成果: 雜誌貢獻文章

1 引文 斯高帕斯(Scopus)

摘要

We study the blow-up behaviors of two parabolic problems on a bounded domain. One is the heat equation with nonlinear memory and the other is a parabolic system with power nonlinearity in which the coefficients of the reaction terms (potentials) are nonnegative and spatially inhomogeneous. Our aim is to show that any zero of the potential, where there is no reaction, is not a blow-up point, if the solution is monotone in time. We also give sufficient conditions for the time monotonicity of solutions.

原文英語
頁(從 - 到)995-1005
頁數11
期刊Taiwanese Journal of Mathematics
15
發行號3
出版狀態已發佈 - 2011 六月 1

    指紋

ASJC Scopus subject areas

  • Mathematics(all)

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