English

Ancient solutions of superlinear heat equations on Riemannian manifolds

Analysis of PDEs 2020-05-22 v1 Differential Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.1708.00312,
  title  = {Ancient solutions of superlinear heat equations on Riemannian manifolds},
  author = {Daniele Castorina and Carlo Mantegazza},
  journal= {arXiv preprint arXiv:1708.00312},
  year   = {2020}
}