Homogenization of the Cauchy problem for parabolic systems with periodic coefficients

DOI10.1090/S1061-0022-2014-01326-XzbMath1304.35064OpenAlexW1978503341MaRDI QIDQ2931190

Yu. M. Meshkova

Publication date: 24 November 2014

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2014-01326-x

zbMATH Keywords

correctormatrix second order differential operators

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Initial value problems for second-order parabolic systems (35K45)

Related Items (7)

Homogenization of the first initial boundary-value problem for parabolic systems: operator error estimates ⋮ Variations on the theme of the Trotter-Kato theorem for homogenization of periodic hyperbolic systems ⋮ Homogenization of periodic Schrödinger-type equations, with lower order terms ⋮ Homogenization of periodic parabolic systems in the $L_2(\mathbb {R}^d)$-norm with the corrector taken into account ⋮ On homogenization of the first initial-boundary value problem for periodic hyperbolic systems ⋮ Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients ⋮ Homogenization of hyperbolic equations with periodic coefficients in ℝ^{𝕕}: Sharpness of the results

Cites Work

• Homogenization of the parabolic Cauchy problem in the Sobolev class \(H^1(\mathbb R^d)\)
• Estimates of homogenization for a parabolic equation with periodic coefficients
• On homogenization of periodic parabolic systems
• Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev SpaceH¹(ℝ^d)
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