Propagation and extinction of fronts for semilinear parabolic equations on negatively curved Riemannian manifolds
Articolo
Data di Pubblicazione:
2016
Citazione:
Propagation and extinction of fronts for semilinear parabolic equations on negatively curved Riemannian manifolds / F. Punzo. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 131:(2016), pp. 325-345. [10.1016/j.na.2015.09.010]
Abstract:
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
semilinear parabolic equations; propagation and extinction of fronts; Riemannian manifolds
Elenco autori:
F. Punzo
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