The blow-up properties for a degenerate semilinear parabolic equation with nonlocal source

DOI10.1007/s11766-996-0005-4zbMath1020.35036OpenAlexW2095545204MaRDI QIDQ1861002

Chunhong Xie, Youpeng Chen, Qi-lin Liu

Publication date: 6 October 2003

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-996-0005-4

zbMATH Keywords

blow-up ratehomogeneous Dirichlet conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65)

Related Items (7)

Blowup for a degenerate and singular parabolic equation with nonlocal source and nonlocal boundary ⋮ Global existence and blow-up for the degenerate and singular nonlinear parabolic system with a nonlocal source ⋮ Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with localized source ⋮ Global existence and blowup for a degenerate and singular parabolic system with nonlocal source and absorptions ⋮ Global existence and blow-up behavior for a degenerate and singular parabolic equation with nonlocal boundary condition ⋮ Blow-up for a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions ⋮ Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with nonlocal source

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Blow-up at the boundary for degenerate semilinear parabolic equations
• Total blow-up versus single point blow-up
• Blowing-up of solution for a nonlocal reaction-diffusion problem in combustion theory
• The blowup property of solutions to some diffusion equations with localized nonlinear reactions
• Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
• Complete blow-up for degenerate semilinear parabolic equations
• Asymptotically self‐similar blow‐up of semilinear heat equations
• A numerical method for semilinear singular parabolic quenching problems
• Blow-up in Nonlocal Reaction-Diffusion Equations
• The profile near quenching time for the solution of a singular semilinear heat equation

This page was built for publication: The blow-up properties for a degenerate semilinear parabolic equation with nonlocal source