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A Liouville Theorem for Superlinear Heat Equations on Riemannian Manifolds
Milan Journal of Mathematics ( IF 1.7 ) Pub Date : 2019-10-29 , DOI: 10.1007/s00032-019-00304-4
Daniele Castorina , Carlo Mantegazza , Berardino Sciunzi

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.

中文翻译:

黎曼流形上超线性热方程的一个Liouville定理

我们研究了具有非负Ricci张量的黎曼流形上加权超线性热方程解的琐碎性。我们证明了在权重为整数增长条件下具有非负初始数据的,从下面有界的解的Liouville型定理。
更新日期:2019-10-29
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