Approximations of the operator exponential in a periodic diffusion problem with drift

DOI10.1070/SM2013v204n02ABEH004301zbMath1292.35144OpenAlexW1998844221MaRDI QIDQ2842992

S. E. Pastukhova

Publication date: 9 August 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2013v204n02abeh004301

zbMATH Keywords

spectral methodperiodicity in spaceBloch decomposition of functions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic equations (35K15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

On resolvent approximations of elliptic differential operators with periodic coefficients, Large-time asymptotics of fundamental solutions for diffusion equations in periodic media and its application to averaging-theory estimates, Approximation of the exponential of a diffusion operator with multiscale coefficients, Resolvent approximations in \(L^2\)-norm for elliptic operators acting in a perforated space

Cites Work

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• Some estimates from homogenization theory
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• Homogenization with corrector term for periodic elliptic differential operators
• AN ASYMPTOTIC EXPANSION OF THE SOLUTION OF A SECOND ORDER ELLIPTIC EQUATION WITH PERIODIC RAPIDLY OSCILLATING COEFFICIENTS
• Homogenization of Periodic Structures via Bloch Decomposition
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