ON THE WHISPERING GALLERY MODES ON INTERFACES OF MEMBRANES COMPOSED OF TWO MATERIALS WITH VERY DIFFERENT DENSITIES

E. Pérez

Type: Article

Publication Date: 2003-01-01

Citations: 20

DOI: https://doi.org/10.1142/s0218202503002398

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Mathematical Models and Methods in Applied Sciences - View

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+	Spectral gaps for the Dirichlet‐Laplacian in a 3‐D waveguide periodically perturbed by a family of concentrated masses	2017	F. L. Bakharev M. E. Pérez
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+	Asymptotics for eigenelements of Laplacian in domain with oscillating boundary: multiple eigenvalues	2007	Youcef Amirat Г. А. Чечкин R. R. Gadyl’shin
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+ PDF Chat	Asymptotics of simple eigenvalues and eigenfunctions for the Laplace operator in a domain with an oscillating boundary	2006	Youcef Amirat Г. А. Чечкин R. R. Gadyl’shin
+	Asymptotics for the eigenelements of the Neumann spectral problem with concentrated masses	2007	J. Cainzos E. Pérez M. Vilasanchez
+	The stiff Neumann problem: asymptotic specialty and "kissing" domains	2020	Valeria Chiadò Piat Lorenza D’Elia С. А. Назаров
+ PDF Chat	Spectral convergence for vibrating systems containing a part with negligible mass	2005	E. Pérez
+	ON VIBRATING MEMBRANES WITH VERY HEAVY THIN INCLUSIONS	2004	Yuriy Golovaty D. Gómez М. Лобо E. Pérez
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Works Cited by This (10)

Action	Title	Year	Authors
+	Multiple Scale and Singular Perturbation Methods	1996	J. Kevorkian J. D. Cole
+	The skin effect in vibrating systems with many concentrated masses	2000	М. Лобо E. P�rez
+	High Frequency Vibrations in a Stiff Problem	1997	М. Лобо E. Pérez
+	Asymptotic solution of eigenvalue problems	1960	Joseph B. Keller S. I. Rubinow
+	VIBRATIONS OF A MEMBRANE WITH MANY CONCENTRATED MASSES NEAR THE BOUNDARY	1995	М. Лобо E. Pérez
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson
+	The asymptotic solution of linear differential equations of the second order for large values of a parameter	1954	F. W. J. Olver
+	The asymptotic expansion of bessel functions of large order	1954	F. W. J. Olver
+	Spectral Theory of Differential Operators	1994	G. Rozenblum Mikhail Shubin Michael Solomyak
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	J. W. W. Milton Abramowitz Irene A. Stegun