Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions

DOI10.1080/00036810802713818zbMath1172.35419OpenAlexW1995541414WikidataQ58181463 ScholiaQ58181463MaRDI QIDQ5321870

Xuyan Gao, Juntang Ding, Bao-Zhu Guo

Publication date: 16 July 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802713818

zbMATH Keywords

positive solutionblow-up timeHopf's maximum principleupper and lower solution techniques

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (8)

Blow-up phenomena for \(p\)-Laplacian parabolic problems with Neumann boundary conditions ⋮ Blow-up and global existence for nonlinear parabolic equations with Neumann boundary conditions ⋮ Blow-up solutions for nonlinear reaction diffusion equations under Neumann boundary conditions ⋮ Lower bounds estimate for the blow-up time of a slow diffusion equation with nonlocal source and inner absorption ⋮ Unnamed Item ⋮ Global existence and blow-up for a class of nonlinear reaction diffusion problems ⋮ Simultaneous and non-simultaneous quenching for coupled parabolic system ⋮ Blow-up solution of nonlinear reaction-diffusion equations under boundary feedback

Cites Work

• Quasilinear parabolic systems under nonlinear boundary conditions
• On blow-up of solutions for quasilinear degenerate parabolic equations
• A necessary and sufficient condition for global existence for a degenerate parabolic boundary value problem
• The problem of blow-up in nonlinear parabolic equations
• The role of critical exponents in blow-up theorems: The sequel
• The Role of Critical Exponents in Blowup Theorems

This page was built for publication: Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions