Ancient solutions of semilinear heat equations on Riemannian manifolds

DOI10.4171/RLM/753zbMath1365.35188arXiv1708.00312WikidataQ115211932 ScholiaQ115211932MaRDI QIDQ524837

Carlo Mantegazza, Daniele Castorina

Publication date: 26 April 2017

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00312

zbMATH Keywords

Liouville theoremsemilinear parabolic equationancient solution

Mathematics Subject Classification ID

Heat equation (35K05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Semilinear parabolic equations (35K58) PDEs on manifolds (35R01)

Related Items (7)

A triviality result for semilinear parabolic equations ⋮ Ancient solutions of superlinear heat equations on Riemannian manifolds ⋮ Harnack inequalities for a class of heat flows with nonlinear reaction terms ⋮ A Liouville theorem for superlinear heat equations on Riemannian manifolds ⋮ Global gradient estimates for a general type of nonlinear parabolic equations ⋮ Global gradient estimates for nonlinear parabolic operators ⋮ Triviality of bounded solutions and gradient estimates for nonlinear \(f\)-heat equations on complete smooth metric measure spaces

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