R. R. Gadyl'shin, “Surface potentials and the method of matching asymptotic expansions in the Helmholtz resonator problem”, Algebra i Analiz, 4:2 (1992), 88–115; St. Petersburg Math. J., 4:2 (1993), 273

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Algebra i Analiz, 1992, Volume 4, Issue 2, Pages 88–115 (Mi aa311)

This article is cited in 12 scientific papers (total in 12 papers)

Research Papers

Surface potentials and the method of matching asymptotic expansions in the Helmholtz resonator problem

R. R. Gadyl'shin

Institute of Mathematics and Computing Centre of Ural Branch of Russian Academy of Sciences

Full-text PDF (1377 kB) Citations (12)

Received: 30.09.1991

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: R. R. Gadyl'shin, “Surface potentials and the method of matching asymptotic expansions in the Helmholtz resonator problem”, Algebra i Analiz, 4:2 (1992), 88–115; St. Petersburg Math. J., 4:2 (1993), 273–296

Citation in format AMSBIB

\Bibitem{Gad92}

\by R.~R.~Gadyl'shin

\paper Surface potentials and the method of matching asymptotic expansions in the Helmholtz resonator problem

\jour Algebra i Analiz

\yr 1992

\vol 4

\issue 2

\pages 88--115

\mathnet{http://mi.mathnet.ru/aa311}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1182395}

\zmath{https://zbmath.org/?q=an:0792.35031|0787.35024}

\transl

\jour St. Petersburg Math. J.

\yr 1993

\vol 4

\issue 2

\pages 273--296

Linking options:

https://www.mathnet.ru/eng/aa311

https://www.mathnet.ru/eng/aa/v4/i2/p88

This publication is cited in the following 12 articles:

Gadyl'shin, RR, “On regular and singular perturbations of acoustic and quantum waveguides”, Comptes Rendus Mecanique, 332:8 (2004), 647
J. Math. Sci. (N. Y.), 128:2 (2005), 2807–2811
I. Yu. Popov, “Asymptotic Series for the Spectrum of the Schrödinger Operator for Layers Coupled Through Small Windows”, Theoret. and Math. Phys., 131:3 (2002), 791–800
Borisov, D, “Bound states in weakly deformed strips and layers”, Annales Henri Poincare, 2:3 (2001), 553
R. R. Gadyl'shin, “On the Dirichlet problem for the Helmholtz equation on the plane with boundary conditions on an almost closed curve”, Sb. Math., 191:6 (2000), 821–848
R. R. Gadyl'shin, “Existence and asymptotics of poles with small imaginary part for the Helmholtz resonator”, Russian Math. Surveys, 52:1 (1997), 1–72
R. R. Gadyl'shin, “Asymptotic expansion of the solutions of a singularly perturbed Dirichlet problem”, Comput. Math. Math. Phys., 36:1 (1996), 75–84
R. R. Gadyl'shin, “A Complete Electromagnetic Analog of the Helmholtz Resonator”, Funct. Anal. Appl., 29:4 (1995), 225–237
R. R. Gadyl'shin, “On scattering by bodies with narrow channels”, Russian Acad. Sci. Sb. Math., 82:2 (1995), 293–313
R. R. Gadyl'shin, “On the Poles of an Acoustic Resonator”, Funct. Anal. Appl., 27:4 (1993), 229–239
R. R. Gadyl'shin, “Asymptotic behavior of the second eigenfrequency for a system of two bodies connected by a thin rod”, Theoret. and Math. Phys., 97:1 (1993), 1154–1159
R. R. Gadyl'shin, “Influence of the position of the opening and its shape on the properties of a Helmholtz resonator”, Theoret. and Math. Phys., 93:1 (1992), 1151–1159

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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