Blowup properties for a semilinear reaction-diffusion system with nonlinear nonlocal boundary conditions

DOI10.1155/2010/148035zbMath1194.35079OpenAlexW2081652334WikidataQ58649755 ScholiaQ58649755MaRDI QIDQ981101

Dengming Liu, Chun-Lai Mu

Publication date: 30 June 2010

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229352

zbMATH Keywords

positive solutionssubsolution and supersolution

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (10)

On the existence of global solutions of a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions ⋮ Blow-up problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition ⋮ New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations ⋮ Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition ⋮ A reaction-diffusion system with nonlinear nonlocal boundary conditions ⋮ Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions ⋮ Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition ⋮ Global and blow-up solutions for the nonlocal \(p\)-Laplacian evolution equation with weighted nonlinear nonlocal boundary condition ⋮ A semilinear parabolic system with generalized Wentzell boundary condition ⋮ Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
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• Boundedness and blow up for a semilinear reaction-diffusion system
• A semilinear parabolic system in a bounded domain
• Note on critical exponents for a system of heat equations coupled in the boundary conditions
• Blow-up for a semilinear reaction-diffusion system coupled in both equations and boundary conditions.
• Blow-up rates for parabolic systems
• On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
• The role of critical exponents in blow-up theorems: The sequel
• Blowup analysis for a semilinear parabolic system with nonlocal boundary condition
• Blow-up of solutions for semilinear heat equation with nonlinear nonlocal boundary condition
• Roles of weight functions in a nonlinear nonlocal parabolic system
• Blow-up for a parabolic system coupled in an equation and a boundary condition
• Boundedness and blow-up behavior for reaction–diffusion systems in a bounded domain
• Global existence and blow‐up for a system of heat equations with non‐linear boundary conditions
• On the growth of solutions of quasi‐linear parabolic equations

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