The blow-up rate for a strongly coupled system of semilinear heat equations with nonlinear boundary conditions

DOI10.1006/JMAA.2000.7216zbMath0973.35094OpenAlexW2044667748MaRDI QIDQ5930140

Shaoyong Lai, Chun-Lai Mu

Publication date: 15 November 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7216

zbMATH Keywords

positive solutionsmatrix of exponents

Mathematics Subject Classification ID

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

Related Items (1)

Blow-up rate estimates for a doubly coupled reaction-diffusion system

Cites Work

• Unnamed Item
• Unnamed Item
• Collapse of the solutions of parabolic and hyperbolic equations with nonlinear boundary conditions
• Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition
• The blow-up property for a system of heat equations with nonlinear boundary conditions
• The blow-up properties of solutions to semilinear heat equations with nonlinear boundary conditions
• The blow-up rate for a coupled system of semilinear heat equations with nonlinear boundary conditions
• The Blow-up Rate for a System of Heat Equations with Non-trivial Coupling at the Boundary
• Some Nonexistence Theorem for Initial-Boundary Value Problems with Nonlinear Boundary Constraints
• The blow-up rate for a system of heat equations with nonlinear boundary conditions
• The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition
• The blow‐up rate for the heat equation with a non‐linear boundary condition

This page was built for publication: The blow-up rate for a strongly coupled system of semilinear heat equations with nonlinear boundary conditions