Perturbation of the diffusion and upper semicontinuity of attractors

DOI10.1016/S0893-9659(99)00069-5zbMath0948.37056OpenAlexW2038562997MaRDI QIDQ1808459

Alexandre Nolasco De Carvalho, José M. Arrieta, Aníbal Rodgriguez-Bernal

Publication date: 23 November 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00069-5

zbMATH Keywords

global attractorupper semicontinuitynonlinear boundary condition

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) Stability problems for infinite-dimensional dissipative dynamical systems (37L15)

Related Items (4)

Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: Dissipativity and blow-up ⋮ Continuity of the attractors in a singular problem arising in composite materials ⋮ Homogenization of a reaction-diffusion equation with Robin interface conditions ⋮ Multinonlinear interactions in quasi-linear reaction-diffusion equations with nonlinear boundary flux

Cites Work

• Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
• Non-homogeneous media and vibration theory
• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Attractors for parabolic problems with nonlinear boundary conditions
• Linear and quasilinear elliptic equations
• Localized Spatial Homogenization and Large Diffusion
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