Oleinik, Chechkin: On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity

Oleinik, Olga A. and Chechkin, Gregory:
On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity (Sul comportamento asintotico delle soluzioni e degli autovalori del problema ai limiti per il sistema dell'elasticità con condizioni ai limiti rapidamente alternanti)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 7 (1996), fasc. n.1, p. 5-15, (English)
pdf (1.08 MB), djvu (239 Kb). | MR1437647 | Zbl 0876.35012

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Vengono studiati i problemi ai limiti per il sistema dell'elasticità lineare con condizioni ai limiti rapidamente alternanti. Si considera inoltre il comportamento asintotico della soluzione quando un piccolo parametro, che definisce l'oscillazione delle condizioni al limite, tende a zero. Vengono calcolate stime per la differenza tra tali soluzioni e le soluzioni del problema ai limiti.

Referenze Bibliografiche

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[15] O. A. OLEINIK - G. A. CHECHKIN, On boundary-value problems for elasticity system with rapidly alternating type of boundary conditions. Russian Mathematical Surveys, 49 (4); UMN, 49 (4), 1994, 114.

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[17] S. L. SOBOLEV, Some Applications of Functional Analysis in Mathematical Physics. 3rd ed., AMS Press, Providence 1991. | Zbl 0732.46001

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[19] G. A. YOSIFLAN - O. A. OLEINIK - A. S. SHAMAEV, On a limit behavior of spectrum of the sequence of operators, which are defined in different Hilbert spaces. UMN, 44 (3), 1989, 157-158. | fulltext (doi) | MR 1024051 | Zbl 0684.47002

[20] O. A. OLEINIK, Some Asymptotic Problems of the Theory of Partial Differential Equations. Lezioni Lincee. Accademia Naz. dei Lincei. Cambridge University Press, Cambridge 1995. | Zbl 1075.35500

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Referenze Bibliografiche