Asymptotic approximation for the solution of a boundary-value problem with varying type of boundary conditions in a thick two-level junction

Author:

Durante T.,Mel'nyk T. A.,Vashchuk P. S.

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Reference22 articles.

1. F. Fleury and E. Sanchez-Palencia, “Asymptotic and spectral properties of the acoustic vibrations of body perforated by narrow channels,” Bull. Sci. Math., 2, No. 110, 149–176 (1986).

2. J. Sanchez-Hubert and E. Sanchez-Palencia, Vibration and Coupling of Continuous Systems, Springer, Berlin-Heidelberg (1989).

3. T. A. Mel'nyk and S. A. Nazarov, “Asymptotic structure of the spectrum of the Neumann problem in a thin comb-like domain,” C. R. Acad. Sci., Ser. 1, 319, 1343–1348 (1994).

4. T. A. Mel'nyk and S. A. Nazarov, “Asymptotics of the solution of the Neumann spectral problem in a domain of ‘thick comb’ type,” Tr. Sem. im. I. G. Petrovskogo, 19, 138–173 (1996); English translation: J. Math. Sci., 85, No. 6, 2326–2346 (1997).

5. T. A. Mel'nyk, “Homogenization of the Poisson equation in a thick periodic junction,” Z. Anal. Anwendungen, 18, No. 4, 953–975 (1999).

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