A Liouville theorem for superlinear heat equations on Riemannian manifolds

Daniele Castorina; Carlo Mantegazza; Berardino Sciunzi

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arXiv · 1811.05146

A Liouville theorem for superlinear heat equations on Riemannian manifolds

Daniele Castorina·Carlo Mantegazza·Berardino Sciunzi

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Abstract

We study the triviality of the solutions of weighted superlinear heat equations on Riemannian manifolds with nonnegative Ricci tensor. We prove a Liouville--type theorem for solutions bounded from below with nonnegative initial data, under an integral growth condition on the weight.

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Daniele Castorina, Carlo Mantegazza, Berardino Sciunzi. 2018-11-13. A Liouville theorem for superlinear heat equations on Riemannian manifolds. https://arxiv.org/abs/1811.05146

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