Global existence and blow-up of solutions to a degenerate parabolic system with nonlocal sources and nonlocal boundaries

DOI10.1007/s00605-013-0580-4zbMath1295.35278OpenAlexW2081096863MaRDI QIDQ398697

Lin Yang, Chaoping Fan

Publication date: 15 August 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-013-0580-4

zbMATH Keywords

sub-solutionsuper-solutionblow-up rates

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (7)

On the existence of global solutions of a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions ⋮ On global existence of solutions of initial boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal Neumann boundary conditions ⋮ Blow-up problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition ⋮ Unnamed Item ⋮ Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition ⋮ Blow-up problem for semilinear heat equation with nonlinear nonlocal boundary condition ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global existence and blow-up for a degenerate reaction-diffusion system with nonlocal sources
• Boundedness and blow up for a semilinear reaction-diffusion system
• Wave breaking for nonlinear nonlocal shallow water equations
• Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
• Global existence and finite time blow up for a degenerate reaction-diffusion system
• Uniform blow-up profile for a degenerate parabolic system with nonlocal source
• Blow-up and global existence for a nonlocal degenerate parabolic system
• Global existence and finite time blow up for a reaction-diffusion system
• Global solutions and blow-up problems for a nonlinear degenerate parabolic system coupled via nonlocal sources
• Global existence and blow-up of solutions to a parabolic system with nonlocal sources and boundaries
• Roles of weight functions in a nonlinear nonlocal parabolic system
• Global solutions and blow-up problems to a porous medium system with nonlocal sources and nonlocal boundary conditions
• Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations

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