Interaction of diffusion and boundary conditions

DOI10.1016/0362-546X(87)90078-2zbMath0661.35047OpenAlexW2045783442WikidataQ60143404 ScholiaQ60143404MaRDI QIDQ3810238

Carlos Rocha, Jack K. Hale

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0362-546x(87)90078-2

zbMATH Keywords

Dirichlet problembifurcationsingletonLipschitz continuousupper semicontinuouscompact attractor

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Bifurcations in context of PDEs (35B32)

Related Items (16)

Well-posed \(p\)-Laplacian problems with large diffusion ⋮ Attractors for parabolic problems with nonlinear boundary conditions ⋮ Reaction-diffusion problems in cell tissues ⋮ Large diffusion with dispersion ⋮ Delay-partial differential equations with some large diffusion ⋮ Convergence of nonautonomous multivalued problems with large diffusion to ordinary differential inclusions ⋮ Nesting inertial manifolds for reaction and diffusion equations with large diffusivity ⋮ Interaction of localized large diffusion and boundary conditions ⋮ Sharp estimates for the global attractor of scalar reaction-diffusion equations with a Wentzell boundary condition ⋮ Contracting sets and dissipation ⋮ Existence and nonexistence of solutions of the reaction-diffusion equation with Robin boundary condition ⋮ Systems of \(p\)-Laplacian differential inclusions with large diffusion ⋮ Solvability and long time behavior of nonlinear reaction-diffusion equations with Robin boundary condition ⋮ A model of porous catalyst accounting for incipiently non-isothermal effects ⋮ Continuity of attractors ⋮ Asymptotic Behavior of the Non-Autonomous Reaction-Diffusion Equation with Robin Boundary Condition

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• On Estimating Elliptic Partial Differential Operators in the L 2 Norm
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• A bifurcation problem for a nonlinear partial differential equation of parabolic type^†

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