Propagation and extinction of fronts for semilinear parabolic equations on Riemannian manifolds

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• 作者：Fabio Punzo ^{fabio.punzo@unimi.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35J25 ; 35J70 ; 35K15 ; 35K55 ; 35K65
• 刊名：Nonlinear Analysis
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：131
• 期：Complete
• 页码：325-345
• 全文大小：655 K

文摘

We study the Cauchy problem for the semilinear heat equation on Riemannian manifolds. Propagation and extinction of solutions are addressed, supposing that the nonlinear forcing term is either of KPP type or of bistable type. In particular, we highlight the influence both of sectional curvatures and of Ricci curvature on such phenomena.