Reduction of Infinite Dimensional Systems to Finite Dimensions: Compact Convergence Approach

DOI10.1137/10080734XzbMath1282.35056OpenAlexW2048153547MaRDI QIDQ2840363

Jan W. Cholewa, Marcos Roberto Teixeira Primo, German Lozada-Cruz, Alexandre Nolasco De Carvalho

Publication date: 18 July 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/10080734x

zbMATH Keywords

spatial homogeneitypositive sectorial operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Abstract parabolic equations (35K90) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) One-parameter semigroups and linear evolution equations (47D06) Perturbations in context of PDEs (35B20) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25) Semilinear parabolic equations (35K58)

Related Items (5)

Final dynamics of systems of nonlinear parabolic equations on the circle ⋮ Rate of convergence of attractors for singularly perturbed semilinear problems ⋮ Continuity of attractors for singularly perturbed semilinear problems with nonlinear boundary conditions and large diffusion ⋮ On spectral convergence for some parabolic problems with locally large diffusion ⋮ Some estimates for resolvent operators under the discretization by finite element method

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