ASYMPTOTICS OF THE NUMBER OF RESONANCES IN THE TRANSMISSION PROBLEM

Georgi Popov, Georgi Vodev, F. F. Cardoso

Type: Article

Publication Date: 2001-09-01

Citations: 24

DOI: https://doi.org/10.1081/pde-100107460

View Publication

Locations

Communications in Partial Differential Equations - View

Similar Works

Action	Title	Year	Authors
+	Carleman estimates and distribution of resonances for the transparent obstacle and application to the stabilization	2003	Mourad Bellassoued
+ PDF Chat	Resonances for transparent obstacles	1999	Georgi Popov Georgi Vodev
+ PDF Chat	Distribution of resonances and local energy decay in the transmission problem. II	1999	F. F. Cardoso Georgi Popov Georgi Vodev
+	Resonances Near the Real Axis¶for Transparent Obstacles	1999	Georgi Popov Georgi Vodev
+ PDF Chat	Asymptotic distribution of resonances for convex obstacles	1999	Johannes Sjöstrand Maciej Zworski
+ PDF Chat	Corrigendum: Bounds on positive interior transmission eigenvalues	2012	Evgeny Lakshtanov B. Vaĭnberg
+ PDF Chat	Weyl Type Bound on Positive Interior Transmission Eigenvalues	2014	Evgeny Lakshtanov B. Vaĭnberg
+ PDF Chat	Bounds on positive interior transmission eigenvalues	2012	Evgeny Lakshtanov B. Vaĭnberg
+ PDF Chat	Resonance scattering in a waveguide with identical thick perforated barriers	2021	Andrey Leonidovich Delitsyn Denis S. Grebenkov
+	Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem	2018	Anne-Sophie Bonnet-Ben Dhia Lucas Chesnel Vincent Pagneux
+	Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem	2018	Anne-Sophie Bonnet-Ben Dhia Lucas Chesnel Vincent Pagneux
+	On the distribution of Born transmission eigenvalues in the complex plane	2023	Narek Hovsepyan
+ PDF Chat	Asymptotic analysis of the transmission eigenvalue problem for a Dirichlet obstacle coated by a thin layer of non-absorbing media	2014	Fioralba Cakoni Nicolas Chaulet Houssem Haddar
+	Transmission Eigenvalues for Non-regular Cases	2013	Valery Serov
+	Resonances for strictly convex obstacles	1998	Johannes Sjöstrand
+ PDF Chat	On the distribution of Born transmission eigenvalues in the complex plane	2023	Narek Hovsepyan
+	Asymptotic analysis of the transmission eigenvalue problem for a Dirichlet obstacle coated by a thin layer of non-absorbing media	2013	Fioralba Cakoni Nicolas Chaulet Houssem Haddar
+	Asymptotic analysis of the transmission eigenvalue problem for a Dirichlet obstacle coated by a thin layer of non-absorbing media	2014	Fioralba Cakoni Nicolas Chaulet Houssem Haddar
+	Asymptotic analysis of the transmission eigenvalue problem for a Dirichlet obstacle coated by a thin layer of non-absorbing media	2013	Fioralba Cakoni Nicolas Chaulet Houssem Haddar
+ PDF Chat	Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem	2018	Anne-Sophie Bonnet-Ben Dhia Lucas Chesnel Vincent Pagneux

Works That Cite This (23)

Action	Title	Year	Authors
+ PDF Chat	Boundary stabilization of transmission problems	2010	F. F. Cardoso Georgi Vodev
+ PDF Chat	Location and Weyl Formula for the Eigenvalues of Some Non Self-Adjoint Operators	2017	Vesselin Petkov
+ PDF Chat	Sharp upper bounds on the number of the scattering poles	2005	Plamen Stefanov
+	The Helmholtz equation in heterogeneous media: A priori bounds, well-posedness, and resonances	2018	Ivan G. Graham Owen R. Pembery Euan A. Spence
+	Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations	2015	Dean Baskin Euan A. Spence Jared Wunsch
+ PDF Chat	Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem	2022	Ralf Hiptmair Andrea Moiola Euan A. Spence
+	For most frequencies, strong trapping has a weak effect in frequency-domain scattering	2019	David Lafontaine Euan A. Spence Jared Wunsch
+	Nontrapping surfaces of revolution with long living resonances	2013	Kiril Datchev Daniel Kang Andre P. Kessler
+ PDF Chat	Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations	2016	Dean Baskin Euan A. Spence Jared Wunsch
+ PDF Chat	Location of eigenvalues for the wave equation with dissipative boundary conditions	2016	Vesselin Petkov

Works Cited by This (10)

Action	Title	Year	Authors
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+	Distribution of resonances for the Neumann problem in linear elasticity outside a strictly convex body	1995	Plamen Stefanov Georgi Vodev
+	Resonances Near the Real Axis¶for Transparent Obstacles	1999	Georgi Popov Georgi Vodev
+	Resonances for Bottles and Trace Formulae	2001	Johannes Sjöstrand
+	Basic Linear Partial Differential Equations	1975	François Trèves
+ PDF Chat	The complex scaling method for scattering by strictly convex obstacles	1995	Johannes Sjöstrand Maciej Zworski
+ PDF Chat	Distribution of resonances and local energy decay in the transmission problem. II	1999	F. F. Cardoso Georgi Popov Georgi Vodev
+	Asymptotics and Special Functions	1997	F. W. J. Olver
+	Diffraction par un Convexe	1994	Thierry Hargé Gilles Lebeau
+ PDF Chat	Estimates on the number of scattering poles near the real axis for strictly convex obstacles	1993	Johannes Sjöstrand Maciej Zworski