Global existence and nonexistence for degenerate parabolic systems

DOI10.1090/S0002-9939-02-06630-3zbMath1090.35094OpenAlexW1514853358MaRDI QIDQ4547040

Weibing Deng, Yuxiang Li, Chunhong Xie

Publication date: 20 August 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06630-3

zbMATH Keywords

global existenceglobal nonexistencedegenerate parabolic system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65)

Related Items (12)

Existence and nonexistence of global solutions of some non-local degenerate parabolic systems ⋮ Global blow-up in a degenerate and strongly coupled parabolic system with localized sources ⋮ Global existence and nonexistence for some degenerate and strongly coupled quasilinear parabolic systems ⋮ Global existence and nonexistence for some degenerate and quasilinear parabolic systems ⋮ Global and blow-up solutions for a mutualistic model ⋮ Global existence and finite time blow up for a degenerate reaction-diffusion system ⋮ A degenerate and strongly coupled quasilinear parabolic system with crosswise diffusion for a mutualistic model ⋮ Global existence and nonexistence for a strongly coupled parabolic system with nonlinear boundary conditions ⋮ Global existence and blow up of solutions of quasilinear chemotaxis system ⋮ On the global solutions to a class of strongly degenerate parabolic equations ⋮ Global existence and finite time blow-up for a parabolic system on hyperbolic space ⋮ Blow-up and global existence for a nonlocal degenerate parabolic system

Cites Work

• Degenerate parabolic equations
• Classes of solutions of linear systems of partial differential equations of parabolic type
• Blow-up at the boundary for degenerate semilinear parabolic equations
• Blow-up of solutions of nonlinear degenerate parabolic equations
• A degenerate diffusion problem not in divergence form
• Blow-up for solutions of some degenerate parabolic equations
• A nonlinear degenerate diffusion equation not in divergence form
• Global and blow-up solutions for nonlinear degenerate parabolic systems with crosswise-diffusion
• The Role of Critical Exponents in Blowup Theorems
• Global Behavior for a Class of Nonlinear Evolution Equations
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Global existence and nonexistence for degenerate parabolic systems