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arXiv · 1707.08498

Global Solutions of Semilinear Parabolic Equations on Negatively Curved Riemannian Manifolds

Fabio Punzo
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Abstract

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

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Fabio Punzo. 2017-07-26. Global Solutions of Semilinear Parabolic Equations on Negatively Curved Riemannian Manifolds. https://arxiv.org/abs/1707.08498

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