Blow-up versus global existence of solutions for reaction-diffusion equations on classes of Riemannian manifolds

DOI10.1007/S10231-022-01279-7OpenAlexW3215664808MaRDI QIDQ2699134

Fabio Punzo, Gabriele Grillo, Giulia Meglioli

Publication date: 26 April 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.00125

zbMATH Keywords

blow-upRiemannian manifoldsreaction diffusion equationsglobal existenceFujita type exponent

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Blow-up in context of PDEs (35B44) PDEs on manifolds (35R01)

Related Items (2)

Non-linear heat equation on the hyperbolic space: global existence and finite-time blow-up ⋮ Global existence for reaction-diffusion evolution equations driven by the \(p \)-Laplacian on manifolds

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