Approximations of the resolvent for a non-self-adjoint diffusion operator with rapidly oscillating coefficients

Author:

Pastukhova C. E.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference20 articles.

1. D. Gilbarg and M. Trudinger, Elliptic Partial Differential Equations of Second Order (Nauka, Moscow, 1989) [in Russian].

2. V. V. Zhikov, S. M. Kozlov, and O. A. Oleinik, Averaging Differential Operators (Nauka, Moscow, 1993) [in Russian].

3. V. V. Zhikov, “Asymptotic behavior and stabilization of solutions of a second-order parabolic equation with lowest terms,” in TrudyMoskov. Mat. Obshch. (Izdat. Moskovsk. Univ., Moscow, 1983), Vol. 46, pp. 69–98 [in Russian].

4. A. Bensoussan, J.-L. Lions and G. C. Papanicolaou, Asymptotic Analysis for Periodic Structures, in Stud. Math. Appl. (North-Holland Publ., Amsterdam, 1978), Vol. 5.

5. E. V. Sevost’yanova, “An asymptotic expansion of the solution of a second order elliptic equation with periodic rapidly oscillating coefficients,” Mat. Sb. 115(157) (2) (6), 204–222 (1981) [Math. USSR-Sb. 43, 181–198 (1982)].

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