A quasilinear parabolic perturbation of the linear heat equation |
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| Authors: | Santiago Cano-Casanova Julián López-Gómez Kazuhiro Takimoto |
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| Institution: | 1. Departamento de Matemática Aplicada y Computación, Universidad Pontificia Comillas, Alberto Aguilera 25, 28015-Madrid, Spain;2. Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040-Madrid, Spain;3. Department of Mathematics, Graduate School of Science, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima City, Hiroshima 739-8526, Japan |
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| Abstract: | 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. |
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