A note on parabolic Liouville theorems and blow-up rates for a higher-order semilinear parabolic system

DOI10.1155/2011/896427zbMath1241.35032OpenAlexW2080973049WikidataQ58686864 ScholiaQ58686864MaRDI QIDQ763000

Ruixiang Xing, Guocai Cai, Hongjing Pan

Publication date: 8 March 2012

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

Full work available at URL: https://doi.org/10.1155/2011/896427

zbMATH Keywords

blow-up ratesexponent range

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Initial value problems for higher-order parabolic systems (35K46)

Related Items (2)

On the nonexistence of solutions of some anisotropic elliptic and backward parabolic inequalities ⋮ Nonexistence of global solutions for quasilinear backward parabolic inequalities with \(p\)-Laplace-type operator

Cites Work

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• On nonexistence of global solutions of some semilinear parabolic differential equations
• On the necessary conditions of global existence to a quasilinear inequality in the half-space
• Existence and Non-Existence of Global Solutions for a Higher-Order Semilinear Parabolic System

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