Homogenization estimates of operator type for an elliptic equation with quasiperiodic coefficients
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Publication:2516042
DOI10.1134/S1061920815020119zbMath1327.35082OpenAlexW968131622MaRDI QIDQ2516042
S. E. Pastukhova, Vasilii V. Jikov
Publication date: 10 August 2015
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1061920815020119
Asymptotic behavior of solutions to PDEs (35B40) Second-order elliptic equations (35J15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Singular elliptic equations (35J75)
Related Items (7)
Homogenization estimates in the Riemann-Hilbert problem for the general Beltrami equation on the plane ⋮ On resolvent approximations of elliptic differential operators with periodic coefficients ⋮ Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting ⋮ Homogenization estimates of nondivergence elliptic operators of second order ⋮ On resolvent approximations of elliptic differential operators with locally periodic coefficients ⋮ Estimates in homogenization of higher-order elliptic operators ⋮ Resolvent approximations in \(L^2\)-norm for elliptic operators acting in a perforated space
Cites Work
- Über die erste Randwertaufgabe bei quasilinearen Differentialgleichungen zweiter Ordnung in mehr als zwei Variablen
- On operator estimates in homogenization theory
- AVERAGING DIFFERENTIAL OPERATORS WITH ALMOST PERIODIC, RAPIDLY OSCILLATING COEFFICIENTS
- SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
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