Homogenization of elliptic and parabolic equations with periodic coefficients in a bounded domain under the Neumann condition

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Initial-boundary value problems for second-order parabolic systems (35K51) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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Uniform regularity estimates in homogenization theory of elliptic system with lower order terms
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Periodic homogenization of elliptic systems
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Some estimates from homogenization theory
The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
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Homogenization of initial boundary value problems for parabolic systems with periodic coefficients
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Homogenization of the Cauchy problem for parabolic systems with periodic coefficients
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Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev SpaceH¹(ℝ^d)
Homogenization with corrector term for periodic elliptic differential operators
On Restrictions and Extensions of the Besov and Triebel-Lizorkin Spaces with Respect to Lipschitz Domains
First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof
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Error estimate and unfolding for periodic homogenization
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Homogenization of elliptic systems with periodic coefficients: operator error estimates in $L_2(\mathbb {R}^d)$ with corrector taken into account
HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES
Homogenization of the Neumann Problem for Elliptic Systems with Periodic Coefficients
Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1({\mathbb{R}}^d)$
Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients

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