Estimates for the embedding operator of a Sobolev space of periodic functions and for the solutions of differential equations with periodic coefficients

DOI10.1134/S0012266111050016zbMath1227.47020MaRDI QIDQ642007

K. S. Kobychev, Anatoly G. Baskakov

Publication date: 25 October 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceinvertibilityembedding operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of ordinary differential operators (47E05) Linear operators on function spaces (general) (47B38)

Related Items

Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations ⋮ Spectral analysis of differential operators with unbounded periodic coefficients

Cites Work

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• Finite-difference operators in the study of differential operators: solution estimates
• Geometric theory of semilinear parabolic equations
• Spectral analysis of differential operators with unbounded operator-valued coefficients, difference relations and semigroups of difference relations