On the critical exponent for some semilinear reaction-diffusion systems on general domains

DOI10.1016/J.JMAA.2015.03.035zbMath1382.35124OpenAlexW1988621070MaRDI QIDQ2348518

Ricardo Castillo, Miguel Loayza

Publication date: 12 June 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.03.035

zbMATH Keywords

global existenceblow-up solutionparabolic system

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (14)

Global and nonglobal existence for a strongly coupled parabolic system on a general domain ⋮ Blow-up solutions in a Cauchy problem of parabolic equations with spatial coefficients ⋮ Asymptotic estimates and Fujita exponents of blow-up solutions in weighted parabolic systems ⋮ 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 ⋮ A necessary and sufficient condition for the existence of global solutions to reaction-diffusion equations on bounded domains ⋮ Behavior of solutions to semilinear evolution inequalities in an annulus: the critical cases ⋮ A semilinear parabolic problem with variable reaction on a general domain ⋮ On the critical set for discrete Laplacian parabolic equations with polynomial-type reactions ⋮ Blow-up problem of quasilinear weakly coupled reaction-diffusion systems with Neumann boundary conditions ⋮ Fujita type critical exponent for a free boundary problem with spatial-temporal source ⋮ Existence and non-existence of global solutions for a heat equation with degenerate coefficients ⋮ Blowup and global existence of a free boundary problem with weak spatial source ⋮ A necessary and sufficient condition for the existence of global solutions to discrete semilinear parabolic equations on networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of global solutions in time for reaction-diffusion systems with inhomogeneous terms in cones
• The value of the critical exponent for reaction-diffusion equations in cones
• On the critical exponent for reaction-diffusion equations
• Nonexistence of global solutions in time for reaction-diffusion systems with inhomogeneous terms in cones
• Blow-up of solutions of semilinear parabolic differential 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 of degenerate parabolic systems
• Existence and behavior of solutions for a weakly coupled system of reaction-diffusion equations
• A semilinear parabolic system in a bounded domain
• Global behavior of solutions to a reaction-diffusion system
• Life span of solutions of a weakly coupled parabolic system
• ASYMPTOTIC SELF-SIMILAR BEHAVIOR OF SOLUTIONS FOR A SEMILINEAR PARABOLIC SYSTEM
• The Role of Critical Exponents in Blowup Theorems
• Existence and Nonexistence of Global Solutions in Time for a Reaction-Diffusion System with Inhomogeneous Terms

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