On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity
Oleinik, Olga A. ; Chechkin, Gregory
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 7 (1996), p. 5-15 / Harvested from Biblioteca Digitale Italiana di Matematica

Boundary value problems for the system of linear elasticity with rapidly alternating boundary conditions are studied and asymptotic behavior of solutions is considered when a small parameter, which defines the oscillation of the boundary conditions, tends to zero. Estimates for the difference between such solutions and solutions of the limit problem are given.

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.

Publié le : 1996-05-01
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     author = {Olga A. Oleinik and Gregory Chechkin},
     title = {On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {7},
     year = {1996},
     pages = {5-15},
     zbl = {0876.35012},
     mrnumber = {1437647},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1996_9_7_1_5_0}
}
Oleinik, Olga A.; Chechkin, Gregory. On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 7 (1996) pp. 5-15. http://gdmltest.u-ga.fr/item/RLIN_1996_9_7_1_5_0/

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