Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups

DOI10.1016/j.jde.2021.10.058zbMath1479.35148arXiv1812.01933OpenAlexW3211551519MaRDI QIDQ2054020

Nurgissa Yessirkegenov, Michael Ruzhansky

Publication date: 30 November 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.01933

zbMATH Keywords

differential inequalityglobal well-posednesssub-Laplaciansub-Riemannian manifoldunimodular Lie group

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) PDEs on manifolds (35R01)

Related Items (5)

Blow-up of nonnegative solutions of an abstract semilinear heat equation with convex source ⋮ Analysis and numerical effects of time-delayed rabies epidemic model with diffusion ⋮ Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group ⋮ Fujita-type results for the degenerate parabolic equations on the Heisenberg groups ⋮ Blow-up of solutions of nonlinear heat equation with hypoelliptic operators on graded Lie groups

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