Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds
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Publication:4947019
DOI10.1080/03605300008821506zbMath0953.35021OpenAlexW1513067896MaRDI QIDQ4947019
José M. Arrieta, Aníbal Rodgriguez-Bernal, Alexandre Nolasco De Carvalho
Publication date: 24 January 2001
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605300008821506
Attractors (35B41) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) A priori estimates in context of PDEs (35B45)
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Cites Work
- Semigroups of linear operators and applications to partial differential equations
- Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
- Geometric theory of semilinear parabolic equations
- Regularity and asymptotic behavior for the second order parabolic equation with nonlinear boundary conditions
- Attractors for parabolic problems with nonlinear boundary conditions
- Domain perturbation for elliptic equations subject to Robin boundary conditions
- Examples of global attractors in parabolic problems
- Localized Spatial Homogenization and Large Diffusion
- Parabolic problems in H1 with fast growing nonlinearities
- Contracting sets and dissipation
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