Homogenization of parabolic and elliptic periodic operators in $L_2(\mathbb {R}^d)$ with the first and second correctors taken into account

DOI10.1090/S1061-0022-2013-01236-2zbMath1276.35027OpenAlexW1699879493MaRDI QIDQ2849053

Tatiana Suslina, E. S. Vasilevskaya

Publication date: 16 September 2013

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

Full work available at URL: https://doi.org/10.1090/s1061-0022-2013-01236-2

zbMATH Keywords

effective operatoroperator-theoretical approach

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

Spectral approach to homogenization of nonstationary Schrödinger-type equations ⋮ The norm resolvent convergence for elliptic operators in multi-dimensional domains with small holes ⋮ Spectral approach to homogenization of hyperbolic equations with periodic coefficients ⋮ Improved resolvent approximations in homogenization of second-order operators with periodic coefficients ⋮ Homogenization of periodic Schrödinger-type equations, with lower order terms ⋮ Homogenization for locally periodic elliptic operators ⋮ Approximation of the exponential of a diffusion operator with multiscale coefficients ⋮ Approximations of resolvents of second order elliptic operators with periodic coefficients ⋮ Homogenization of hyperbolic equations with periodic coefficients in ℝ^{𝕕}: Sharpness of the results

Cites Work

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• Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev SpaceH¹(ℝ^d)
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