A Liouville theorem for superlinear heat equations on Riemannian manifolds
Analysis of PDEs
2019-10-04 v3
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.
Keywords
Cite
@article{arxiv.1811.05146,
title = {A Liouville theorem for superlinear heat equations on Riemannian manifolds},
author = {Daniele Castorina and Carlo Mantegazza and Berardino Sciunzi},
journal= {arXiv preprint arXiv:1811.05146},
year = {2019}
}