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Stable Determination of a Rigid Scatterer in Elastodynamics (Q3388521)

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Language	Label	Description	Also known as
English	Stable Determination of a Rigid Scatterer in Elastodynamics	scientific article

Statements

scholarly article

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Stable Determination of a Rigid Scatterer in Elastodynamics (English)

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SIAM Journal on Mathematical Analysis

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publication date

5 May 2021

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full work available at URL

https://arxiv.org/abs/2007.06864

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zbMATH Keywords

linear elasticity

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elastic waves

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stability

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inverse elastic scattering

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MaRDI profile type

MaRDI publication profile

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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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Determining a sound-soft polyhedral scatterer by a single far-field measurement

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Optimal three spheres inequality at the boundary for the Kirchhoff-Love plate's equation with Dirichlet conditions

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Cracks with impedance; stable determination from boundary data

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Direct and inverse elastic scattering from anisotropic media

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Three-spheres theorem for second order elliptic equations

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Stability of recovering the near-field wave from the scattering amplitude

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Uniqueness in an inverse scattering problem within non-trapping polygonal obstacles with at most two incoming waves

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Uniqueness Theorems for the Inverse Problem of Acoustic Scattering

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Shape analysis via oriented distance functions

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On generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problems

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Examples of exponential instability for inverse inclusion and scattering problems

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Uniqueness and factorization method for inverse elastic scattering with a single incoming wave

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Uniqueness in inverse elastic scattering with finitely many incident waves

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Elliptic Partial Differential Equations of Second Order

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Local uniqueness for the inverse scattering problem in acoustics via the Faber–Krahn inequality

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Inverse scattering problem for a rigid scatterer or a cavity in elastodynamics

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Identification of obstacles using only the scattered \(P\)-waves or the scattered \(S\)-waves

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Uniqueness theorems in inverse obstacle scattering of elastic waves

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Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators

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Some inverse problems arising from elastic scattering by rigid obstacles

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Stability estimates for obstacles in inverse scattering

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New stability results for soft obstacles in inverse scattering

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Reconstruction of Interfaces from the Elastic Farfield Measurements Using CGO Solutions

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On the inverse elastic scattering by interfaces using one type of scattered waves

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Remarks on eigenvalues and eigenfunctions of a special elliptic system

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Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements

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Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems

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Decoupling elastic waves and its applications

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Exponential instability in an inverse problem for the Schrödinger equation

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Stability for the acoustic scattering problem for sound-hard scatterers

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Stable determination of cavities in elastic bodies

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Uniqueness and stability in determining a rigid inclusion in an elastic body

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Doubling Inequality at the Boundary for the Kirchhoff -- Love Plate's Equation with Dirichlet Conditions

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Optimal Stability in the Identification of a Rigid Inclusion in an Isotropic Kirchhoff--Love Plate

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Stable determination of sound-soft polyhedral scatterers by a single measurement

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A Friedrichs–Maz'ya inequality for functions of bounded variation

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Stable determination of a scattered wave from its far-field pattern: the high frequency asymptotics

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Local stability for soft obstacles by a single measurement

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Local uniqueness for the fixed energy fixed angle inverse problem in obstacle scattering

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Identifiers

zbMATH Open document ID

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10.1137/20M1352867

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3388521

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