THE AVERAGING OF NONDIVERGENCE SECOND ORDER ELLIPTIC AND PARABOLIC OPERATORS AND THE STABILIZATION OF SOLUTIONS OF THE CAUCHY PROBLEM

DOI10.1070/SM1983V044N02ABEH000958zbMath0502.35016OpenAlexW1978507082MaRDI QIDQ3967861

Vasilii V. Jikov, M. M. Sirazhudinov

Publication date: 1983

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1983v044n02abeh000958

zbMATH Keywords

almost periodic functionsBernstein inequalityaveragingcharacterization of the initial valuesstabilization of the solution of the Cauchy problemaveraging of nondivergent elliptic and parabolic operators of second ordernondivergence second order elliptic operators

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Almost and pseudo-almost periodic solutions to PDEs (35B15) Groups and semigroups of linear operators (47D03) Second-order elliptic equations (35J15) Averaging method for ordinary differential equations (34C29) Initial value problems for second-order parabolic equations (35K15)

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Homogenization estimates of nondivergence elliptic operators of second order

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