Approximations of resolvents of second order elliptic operators with periodic coefficients

DOI10.1007/s10958-022-06141-yzbMath1501.35038OpenAlexW4307157086MaRDI QIDQ2094256

S. E. Pastukhova

Publication date: 28 October 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06141-y

zbMATH Keywords

second-order elliptic operator in divergence formε-periodic measurable coefficients

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

• On homogenization for non-self-adjoint periodic elliptic operators on an infinite cylinder
• On operator estimates for some problems in homogenization theory
• Estimates of homogenization for a parabolic equation with periodic coefficients
• \(L^2\)-estimates for homogenization of elliptic operators
• Homogenization estimates for singularly perturbed operators
• On operator estimates in homogenization theory
• Operator estimates in homogenization theory
• Homogenization of parabolic and elliptic periodic operators in $L_2(\mathbb {R}^d)$ with the first and second correctors taken into account
• Homogenization of a stationary periodic Maxwell system
• Homogenization with corrector term for periodic elliptic differential operators
• AVERAGING ANDG-CONVERGENCE OF DIFFERENTIAL OPERATORS
• Second order periodic differential operators. Threshold properties and homogenization
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