Homogenization estimates for singularly perturbed operators
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Publication:2214350
DOI10.1007/s10958-020-05125-0zbMath1453.35015OpenAlexW3098658043MaRDI QIDQ2214350
Publication date: 8 December 2020
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-020-05125-0
Singular perturbations in context of PDEs (35B25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Higher-order elliptic equations (35J30)
Related Items (14)
Norm resolvent convergence of elliptic operators in domains with thin spikes ⋮ Improved approximations of resolvents in homogenization of higher order operators. The selfadjoint case ⋮ Operator estimates for planar domains with irregularly curved boundary. The Dirichlet and Neumann conditions ⋮ On resolvent approximations of elliptic differential operators with periodic coefficients ⋮ Operator estimates in two-dimensional problems with a frequent alternation in the case of small parts with the Dirichlet condition ⋮ On operator estimates of the homogenization of higher-order elliptic systems ⋮ Improved resolvent 𝐿²-approximations in homogenization of fourth order operators ⋮ Homogenization estimates for parabolic equations with correctors ⋮ Improved approximations of resolvent in homogenization of higher order operators ⋮ Improved approximations of resolvents in homogenization of fourth order operators ⋮ Combined effects of homogenization and singular perturbations: a Bloch wave approach ⋮ Operator \(L_2\)-estimates for two-dimensional problems with rapidly alternating boundary conditions ⋮ Approximations of resolvents of second order elliptic operators with periodic coefficients ⋮ Approximation of resolvents in homogenization of fourth-order elliptic operators
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