A simplified proof of a Liouville theorem for nonnegative solution of a subcritical semilinear heat equations

DOI10.1007/s10884-008-9121-6zbMath1194.35213OpenAlexW2031205062MaRDI QIDQ1016055

Nejla Nouaili

Publication date: 4 May 2009

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

Full work available at URL: https://doi.org/10.1007/s10884-008-9121-6

zbMATH Keywords

blow-uppower nonlinearityKaplan's criterion

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat equation (35K05) Analyticity in context of PDEs (35A20)

Related Items (2)

Blow-up profile for the complex Ginzburg-Landau equation ⋮ A Liouville theorem for vector valued semilinear heat equations with no gradient structure and applications to blow-up

Cites Work

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• A Liouville theorem for vector valued semilinear heat equations with no gradient structure and applications to blow-up
• Asymptotically self‐similar blow‐up of semilinear heat equations
• Refined asymptotics for the blowup of u_t — δu = u^p
• On the growth of solutions of quasi‐linear parabolic equations

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