Gotlib, V. Yu. On solutions of the Helmholtz equation that are concentrated near a plane periodic boundary. (English. Russian original) Zbl 1071.35512 J. Math. Sci., New York 102, No. 4, 4188-4194 (2000); translation from Zap. Nauchn. Semin. POMI 250, 83-96 (1998). Cited in 5 Documents MSC: 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35B10 Periodic solutions to PDEs PDF BibTeX XML Cite \textit{V. Yu. Gotlib}, J. Math. Sci., New York 102, No. 4, 4188--4194 (1998; Zbl 1071.35512); translation from Zap. Nauchn. Semin. POMI 250, 83--96 (1998) Full Text: DOI References: [1] I. M. Glasman,Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators [in Russian], Moscow (1963). [2] R. R. Gadylshin, ”The amplitude of oscillations for a Helmholtz resonator,”Dokl. Akad. Nauk SSSR,310, 1094–1097 (1990). [3] V. Yu. Gotlib, ”Scattering by a circular resonator with a narrow split as a problem of perturbation theory,”Dokl. Akad. Nauk SSSR,287 1109–1113 (1986). [4] A. N. Popov, ”On the existence of eigenoscillations of a resonator opened into a waveguide,”J. Tech. Phys.,56, 1916–1922 (1986). [5] B. S. Pavlov and L. D. Faddeev, ”On scattering on an empty resonator with a small hole,”Zap. Nauchn. Semin. LOMI,126, 160–176 (1983). · Zbl 0512.47009 [6] V. Yu. Gotlib, ”On low-frequency asymptotic solutions of wave-scattering problems,”Zap. Nauchn. Semin. LOMI,62, 52–59 (1976). · Zbl 0333.35029 [7] B. S. Pavlov and I. Yu. Popov, ”An acoustic model of zero-width splits and the hydrodynamic stability of a boundary layer,”Teor. Mat. Fiz.,86, 391–401 (1991). · Zbl 0719.76065 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.