Asymptotics of solutions of boundary value problems in periodically perforated domains with small holes

Author:

Belyaev A. G.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference13 articles.

1. A.A. Samarsky,On the influence of fixation on frequencies of free vibrations of closed volumes, Usp. Mat. Nauk5 (1950), no. 3, 133–134.

2. V.A. Marchenko and E.Ya. Khruslov,Boundary Value Problems in Domains with a Finely Grained Boundary, Naukova Dumka, Kiev, 1974 (in Russian)

3. V.A. Marchenko and E.Ya. Khruslov,Estimates for the approximation of solutions of boundary value problems in domains with a finely grained boundary, Problems in Mechanics and Mathematical Physics, Nauka, Moscow, 1976. (in Russian).

4. E.Ya. Khruslov,The first boundary value problem for higher order equations in domains with a complex shaped boundary, Mat. Sb.103(145) (1977), no. 4(8), 514–529.

5. D. Cioranescu and F. Murat,Un terme étranger venu d'aillers, 1 & 2, Nonlinear Partial Differential Equations and Their Application. College de France Seminar, Vols. II & III, (H. Bresis and J.-L. Lions, eds.), Research in Math., 60 & 70, Pitman, 1982, pp. 98–138, 154–178.

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