Global existence and blow-up for a completely coupled Fujita type system
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Publication:4523001
DOI10.4064/AM-27-2-203-218zbMath0994.35055OpenAlexW2260213370MaRDI QIDQ4523001
Publication date: 7 January 2001
Published in: Applicationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/219268
Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Second-order parabolic systems (35K40)
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A uniqueness result for a semilinear parabolic system ⋮ Single-point blow-up for a multi-component reaction-diffusion system ⋮ Global existence and blowup for a coupled parabolic system with time-weighted sources on a general domain ⋮ Blow-Up vs. Global Existence for a Fujita-Type Heat Exchanger System ⋮ Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case ⋮ Global existence and nonexistence of solutions for a system of nonlinear damped wave equations ⋮ Lifespan of solutions for a weakly coupled system of semilinear heat equations ⋮ Global existence of solutions for a weakly coupled system of semilinear damped wave equations
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