Existence and Non-Existence of Global Solutions for a Higher-Order Semilinear Parabolic System

DOI10.1512/iumj.2006.55.2763zbMath1100.35039OpenAlexW2034344879MaRDI QIDQ5483988

Fuqin Sun, Mingxin Wang, Peter Y. H. Pang

Publication date: 24 August 2006

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2006.55.2763

zbMATH Keywords

global solutionshigher-order parabolic systeminitial data with positive average

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic systems (35K45) Initial value problems for higher-order parabolic equations (35K30)

Related Items (7)

Second critical exponent for a higher-order semilinear parabolic system ⋮ Global existence and non-existence for a higher-order parabolic equation with time-fractional term ⋮ Critical exponents for nonlinear diffusion equations with nonlinear boundary sources ⋮ Blow-up rates for higher-order semilinear parabolic equations and systems and some Fujita-type theorems ⋮ Asymptotically self-similar global solutions for a higher-order semilinear parabolic equation ⋮ A note on parabolic Liouville theorems and blow-up rates for a higher-order semilinear parabolic system ⋮ Global existence and blow-up of solutions for a system of fractional wave equations

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