A quasilinear parabolic perturbation of the linear heat equation

A quasilinear parabolic perturbation of the linear heat equation
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DOI:
10.1016/j.jde.2011.09.018
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发表时间:
2012
影响因子:
2.4
通讯作者:
S. Cano-Casanova;J. López-Gómez;Kazuhiro Takimoto
S. Cano-Casanova;J. López-Gómez;Kazuhiro Takimoto
中科院分区:
数学2区
文献类型:
--
作者:
S. Cano-Casanova;J. López-Gómez;Kazuhiro Takimoto

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This paper studies a quasilinear perturbation, through the mean curvature flow operator, of the classical linear heat equation. The mean curvature has the effect of maintaining bounded all classical positive steady-states of the model.