L2-Estimates of Error in Homogenization of Parabolic Equations with Correctors Taken Into Account

Author:

Pastukhova S. E.

Publisher

Springer Science and Business Media LLC

Reference39 articles.

1. N. S. Bakhvalov, “Homogenization of partial differential equations with rapidly oscillating coefficients,” Dokl. AN SSSR, 221, No. 3, 516–519 (1975).

2. N. S. Bakhvalov and G. P. Panasenko, Homogenization of Processes in Periodic Media. Mathematical Problems of Mechanics of Composite Materials [in Russian], Nauka, Moscow (1984).

3. A. Bensoussan, J. L. Lions, and G. Papanicolaou, Asymptotic analysis for periodic structures, North Holland Publishing Co., Amsterdam–New York (1978).

4. M. Sh. Birman and T. A. Suslina, “Periodic second-order differential operators. Threshold properties of homogenization,” Algebra i Analiz, 15, No. 3, 1–108 (2003).

5. M. Sh. Birman and T. A. Suslina, “Homogenization of periodic elliptic differential operators with the account of a corrector,” Algebra i Analiz, 17, No. 6, 1–104 (2005).

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