Ancient solutions of semilinear heat equations on Riemannian manifolds
Daniele Castorina
Università di Roma Tor Vergata, ItalyCarlo Mantegazza
Università di Napoli Federico II, Italy
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Abstract
We study the qualitative properties of ancient solutions of linear and semilinear heat equations in a Riemannian manifold, with particular attention to positivity and constancy in space.
Cite this article
Daniele Castorina, Carlo Mantegazza, Ancient solutions of semilinear heat equations on Riemannian manifolds. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 28 (2017), no. 1, pp. 85–101
DOI 10.4171/RLM/753