Approximations of the resolvent for a non-self-adjoint diffusion operator with rapidly oscillating coefficients
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Publication:382364
DOI10.1134/S0001434613070122zbMath1282.35040MaRDI QIDQ382364
Publication date: 18 November 2013
Published in: Mathematical Notes (Search for Journal in Brave)
Second-order elliptic equations (35J15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (8)
On homogenization for non-self-adjoint periodic elliptic operators on an infinite cylinder ⋮ On operator-type homogenization estimates for elliptic equations with lower order terms ⋮ On resolvent approximations of elliptic differential operators with periodic coefficients ⋮ \(L^2\)-estimates for homogenization of diffusion operators with unbounded nonsymmetric matrices ⋮ Homogenization of operators with perturbations of general form in the lower-order terms ⋮ Homogenization estimates for singularly perturbed operators ⋮ Resolvent approximations in \(L^2\)-norm for elliptic operators acting in a perforated space ⋮ Approximation of resolvents in homogenization of fourth-order elliptic operators
Cites Work
- On operator estimates for some problems in homogenization theory
- Estimates of homogenization for a parabolic equation with periodic coefficients
- Some estimates from homogenization theory
- The spectral method in asymptotic diffusion problems with drift
- Approximations of the exponential of an operator with periodic coefficients
- Operator estimates in reiterated and locally periodic homogenization
- Bloch Approximation in Homogenization and Applications
- Homogenization with corrector term for periodic elliptic differential operators
- Homogenization of Periodic Structures via Bloch Decomposition
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