Parabolic systems in unbounded domains. I: Existence and dynamics

DOI10.1006/jmaa.1997.5706zbMath0895.35046OpenAlexW2091007074MaRDI QIDQ1378615

Chia-Ven Pao

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5706

zbMATH Keywords

upper and lower solutions

Mathematics Subject Classification ID

Related Items (9)

Positive steady states of reaction-diffusion-advection competition models in periodic environment ⋮ On positive solutions of the Lotka--Volterra cooperating models with diffusion ⋮ An application of the monotone iterative method to a combustion problem in porous media ⋮ Periodic solutions of reaction diffusion systems in a half-space domain ⋮ Persistence and Propagation of a PDE and Discrete-Time Map Hybrid Animal Movement Model With Habitat Shift Driven by Climate Change ⋮ IDENTIFICATION OF THE SOURCE FOR FULL PARABOLIC EQUATIONS ⋮ Parabolic systems in unbounded domains. II: Equations with time delays ⋮ Periodic solutions of systems of parabolic equations in unbounded domains ⋮ The generalized quasi-linearization method for reaction diffusion equations on an unbounded domain

Cites Work

• Large time behavior of the solutions of a semilinear parabolic equation in \(\mathbb R^ n\)
• The asymptotic behavior of solutions of a system of reaction-diffusion equations which models the Belousov-Zhabotinskii chemical reaction
• Invariant sets and existence theorems for semilinear parabolic and elliptic systems
• Instability of stationary solutions for a Lotka-Volterra competition model with diffusion
• Nonlinear elliptic boundary-value problems in unbounded domains
• Temperature of a semi-infinite rod which radiates both linearly and nonlinearly
• The asymptotic stability of a traveling wave solution arising from a combustion model
• Nonlinear elliptic systems in unbounded domains
• Boundedness and decay estimates for a class of reaction-diffusion systems on n
• Dynamics of Interfaces in Competition-Diffusion Systems
• Quasisolutions and global attractor of reaction-diffusion systems
• Optimization of one-dimensional multistage linear processes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Parabolic systems in unbounded domains. I: Existence and dynamics