Harnack Inequalities for Simple Heat Equations on Riemannian Manifolds

2019 ◽  
Vol 22 (1) ◽  
Author(s):  
Li Ma ◽  
Yang Liu
Keyword(s):  
Riemannian Manifolds ◽  
Heat Equations ◽  
Harnack Inequalities

scholarly journals A Liouville Theorem for Superlinear Heat Equations on Riemannian Manifolds

2019 ◽  
Vol 87 (2) ◽  
pp. 303-313 ◽  
Author(s):  
Daniele Castorina ◽  
Carlo Mantegazza ◽  
Berardino Sciunzi
Keyword(s):  
Riemannian Manifolds ◽  
Liouville Theorem ◽  
Heat Equations

scholarly journals Ancient solutions of superlinear heat equations on Riemannian manifolds

2020 ◽  
pp. 2050033
Author(s):  
Daniele Castorina ◽  
Carlo Mantegazza
Keyword(s):  
Riemannian Manifold ◽  
Riemannian Manifolds ◽  
Heat Equations ◽  
Qualitative Properties ◽  
Ancient Solutions

We study some qualitative properties of ancient solutions of superlinear heat equations on a Riemannian manifold, with particular interest in positivity and constancy in space.

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