Blow-up and global solutions for nonlinear reaction-diffusion equations with nonlinear boundary condition

DOI10.1016/j.amc.2011.10.021zbMath1387.35355OpenAlexW2010786199MaRDI QIDQ426925

Fei Liang

Publication date: 13 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.10.021

zbMATH Keywords

nonlinear reaction-diffusion equationsglobal solutionsblow-up solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Blow-up in context of PDEs (35B44)

Related Items (5)

Blow-up phenomena for nonlinear reaction-diffusion equations under nonlinear boundary conditions ⋮ LMI approach to exponential stability and almost sure exponential stability for stochastic fuzzy Markovian-jumping Cohen-Grossberg neural networks with nonlinear \(p\)-Laplace diffusion ⋮ Delay-dependent exponential stability for Markovian jumping stochastic Cohen-Grossberg neural networks with \(p\)-Laplace diffusion and partially known transition rates via a differential inequality ⋮ Stochastic finite-time stability of reaction-diffusion Cohen-Grossberg neural networks with time-varying delays ⋮ Delay-dependent exponential stability for nonlinear reaction-diffusion uncertain Cohen-Grossberg neural networks with partially known transition rates via Hardy-Poincaré inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Global existence and blow-up solutions and blow-up estimates for a non-local quasilinear degenerate parabolic system
• Blow-up solutions and global solutions for nonlinear parabolic problems
• Quasilinear parabolic systems under nonlinear boundary conditions
• Maximum principles and their applications
• The problem of blow-up in nonlinear parabolic equations
• Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Blow-up and global solutions for nonlinear reaction-diffusion equations with Neumann boundary conditions
• Blow-up solutions and global solutions for a class of quasilinear parabolic equations with Robin boundary conditions
• On Existence and Nonexistence in the Large of Solutions of Parabolic Differential Equations with a Nonlinear Boundary Condition
• Global Existence and Blow-Up Problems for Quasilinear Parabolic Equations with Nonlinear Boundary Conditions
• Blow-up versus global solvability for a class of nonlinear parabolic equations

This page was built for publication: Blow-up and global solutions for nonlinear reaction-diffusion equations with nonlinear boundary condition