Acoustic transmission problems: Wavenumber-explicit bounds and resonance-free regions (Q4630576)

scientific article; zbMATH DE number 7042925

Language	Label	Description	Also known as
English	Acoustic transmission problems: Wavenumber-explicit bounds and resonance-free regions	scientific article; zbMATH DE number 7042925

Statements

instance of

scholarly article

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title

Acoustic transmission problems: Wavenumber-explicit bounds and resonance-free regions (English)

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publication date

27 March 2019

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full work available at URL

https://arxiv.org/abs/1702.00745

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zbMATH Keywords

Helmholtz equation

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Lipschitz domain

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Morawetz identity

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Stability analysis of heterogeneous Helmholtz problems and finite element solution based on propagation media approximation

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Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations

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Q4469388

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A priori bounds for solutions of the Dirichlet problem for [Delta + lambda sup(2) n(x)]u = f(x,lambda) on an exterior domain

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Regularized Combined Field Integral Equations for Acoustic Transmission Problems

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Q2891103

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On the scattered field generated by a ball inhomogeneity of constant index in dimension three

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Distribution of resonances and local energy decay in the transmission problem. II

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ASYMPTOTICS OF THE NUMBER OF RESONANCES IN THE TRANSMISSION PROBLEM

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Boundary stabilization of transmission problems

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Electromagnetic scattering by an inhomogeneous conducting or dielectric layer on a perfectly conducting plate

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Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering

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Wave-Number-Explicit Bounds in Time-Harmonic Scattering

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Scattering of Electromagnetic Waves by Rough Interfaces and Inhomogeneous Layers

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On high order methods for the heterogeneous Helmholtz equation

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Multitrace boundary integral equations

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Q2990109

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L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes

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Q3672341

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Un résultat de densité pour les équations de Maxwell régularisées dans un domaine lipschitzien

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A direct boundary integral equation method for transmission problems

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Stochastic stability of Pollicott–Ruelle resonances

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On a Regularity Theorem for Weak Solutions to Transmission Problems with Internal Lipschitz Boundaries

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Morrey–Campanato estimates for Helmholtz equations with two unbounded media

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The quantum Sabine law for resonances in transmission problems

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A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods

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The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances

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Stability and finite element error analysis for the Helmholtz equation with variable coefficients

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Hybrid numerical-asymptotic approximation for high-frequency scattering by penetrable convex polygons

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A hybrid numerical-asymptotic boundary element method for high frequency scattering by penetrable convex polygons

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Sharp norm estimates of layer potentials and operators at high frequency

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Asymptotically precise norm estimates of scattering from a small circular inhomogeneity

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Variational approach to scattering by unbounded rough surfaces with Neumann and generalized impedance boundary conditions

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Computational aspects of the ultra-weak variational formulation

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The computation of resonances in open systems using a perfectly matched layer

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Transmission problems for the Helmholtz equation

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A variational method for wave scattering from penetrable rough layers

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Q4953888

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Singularities of boundary value problems. I

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Singularities of boundary value problems. II

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Is the Helmholtz Equation Really Sign-Indefinite?

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The decay of solutions of the exterior initial-boundary value problem for the wave equation

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Decay for solutions of the exterior problem for the wave equation

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Full range scattering estimates and their application to cloaking

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Stability estimate for the Helmholtz equation with rapidly jumping coefficients

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Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering

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A new frequency-uniform coercive boundary integral equation for acoustic scattering

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Coercivity of Combined Boundary Integral Equations in High-Frequency Scattering

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Q4291785

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ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR AS<i>t</i>→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS

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Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains

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Q4938216

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published in

M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences

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Identifiers

zbMATH Open document ID

1414.35057

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DOI

10.1142/S0218202519500106

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4630576