Approximations of the exponential of an operator with periodic coefficients

DOI10.1007/s10958-012-0710-xzbMath1270.35065OpenAlexW2090502136MaRDI QIDQ1762530

S. E. Pastukhova

Publication date: 27 November 2012

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

Full work available at URL: https://doi.org/10.1007/s10958-012-0710-x

zbMATH Keywords

diffusion equationselfadjoint operatoroperator approximationmeasurable 1-periodic coefficients

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory to differential and integral equations (47N20) Perturbations in context of PDEs (35B20) Initial value problems for second-order parabolic equations (35K15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Cites Work

• Estimates of homogenization for a parabolic equation with periodic coefficients
• On homogenization of periodic parabolic systems
• A periodic parabolic Cauchy problem: Homogenization with corrector
• Homogenization with corrector term for periodic elliptic differential operators
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