Long-time behaviour for reaction-diffusion equations on

DOI10.1016/0362-546X(94)00174-GzbMath0847.35065OpenAlexW1971783018MaRDI QIDQ4855167

Guido Schätti, Pablo Koch-Medina

Publication date: 8 October 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00174-g

zbMATH Keywords

upper and lower solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57)

Related Items (8)

Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains ⋮ An \(N\)-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems ⋮ A diffusive logistic model with a free boundary in time-periodic environment ⋮ Diffusive logistic growth on ⋮ On a nonlinear eigenvalue problem in ODE ⋮ On a diffusive logistic equation ⋮ Cyclic competition of three species in the time periodic and diffusive case ⋮ A degree theoretic approach to N-species periodic competition systems on the whole ℝ^N

Cites Work

• Existence and uniqueness of solutions for a nonlinear diffusion problem arising in population genetics
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• Equations d'évolution abstraites non linéaires de type parabolique
• Asymptotics in semilinear periodic diffusion equations with Dirichlet or Robin boundary conditions
• Superconvexity of the evolution operator and parabolic eigenvalue problems on \(\mathbb{R}^ n\)
• Local behavior of solutions of quasilinear parabolic equations
• Stability and convergence in strongly monotone dynamical systems.
• Differential equations and convergence almost everywhere in strongly monotone semiflows
• Interpolation Spaces Between Domains of Elliptic Operators and Spaces of Continuous Functions with Applications to Nonlinear Parabolic Equations
• L ∞ stability of an exponentially decreasing solution of the problem Δu+f(x, u)=0 inR n
• Multiple fixed points of positive mappings.
• Quasilinear Evolution Equations and Parabolic Systems
• Upper and lower stability and index theory for positive mappings and applications
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