Convergence in \(L^{p}\) space for the homogenization problems of elliptic and parabolic equations in the plane.

DOI10.1016/S0022-247X(02)00464-XzbMath1037.35018OpenAlexW1994211063MaRDI QIDQ1417967

Ki-Bok Kong, Hi Jun Choe, Chang-Ock Lee

Publication date: 6 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00464-x

zbMATH Keywords

convergence rateGreen functionelliptic and parabolic operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Asymptotic expansions of solutions to PDEs (35C20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (1)

Homogenization of the first initial boundary-value problem for parabolic systems: operator error estimates

Cites Work

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• Compactness methods in the theory of homogenization
• First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof
• Equivalent Norms for Sobolev Spaces

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