Averaging of linear operators, adiabatic approximation, and pseudodifferential operators

Author:

Brüning J.,Grushin V. V.,Dobrokhotov S. Yu.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference19 articles.

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

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

3. V. A. Marchenko and E. Ya. Khruslov, Averaged Models of Micro-Inhomogeneous Media (B. I. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkov, 2003) [in Russian].

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

5. S. Yu. Dobrokhotov, “Application of Maslov’s theory to two problems with operator-valued symbol,” Uspekhi Mat. Nauk 39(4), 125 (1984).

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