Global Solutions of Semilinear Parabolic Equations on Negatively Curved\n Riemannian Manifolds

2017/07/26 by Fabio Punzo, Punzo, Fabio
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1707.08498

openalex publication_date 2017/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We are concerned with global existence for semilinear parabolic equations on\nRiemannian manifolds with negative sectional curvatures. A particular attention\nis paid to the class of initial conditions which ensure existence of global\nsolutions. Indeed, we show that such a class is crucially related to the\ncurvature bounds.\n

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