Existence and nonexistence of Fujita-type critical exponents for isotropic and anisotropic semi-linear parabolic systems

DOI10.1006/JMAA.2001.7725zbMath0996.35008OpenAlexW2047525115MaRDI QIDQ5957737

Sleeman, Brian D., Hiroshi Takase

Publication date: 7 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7725

zbMATH Keywords

blow-up in finite timenon-negative non-trivial initial data

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic systems (35K45)

Related Items (1)

Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations

Cites Work

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• Single point blow-up for a semilinear initial value problem
• Geometric theory of semilinear parabolic equations
• Boundedness and blow up for a semilinear reaction-diffusion system
• A Fujita type global existence-global nonexistence theorem for a weakly coupled system of reaction-diffusion equations
• The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations
• A general approach to critical Fujita exponents in nonlinear parabolic problems
• Subsolutions and super solutions to systems of parabolic equations with applications to generalized Fujita‐type systems
• Global existence and blow-up for a class of semilinear parabolic systems: A Cauchy Problem
• Non–existence of global solutions to anisotropic Fujita–type systems of semilinear parabolic equations
• On the growth of solutions of quasi‐linear parabolic equations

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