Determination of piecewise homogeneous sources for elastic and electromagnetic waves

DOI10.3934/ipi.2022065OpenAlexW4312356177MaRDI QIDQ2697385

Jian Zhai, Yue Zhao

Publication date: 18 April 2023

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2022065

zbMATH Keywords

stabilityelectromagnetic wavesinverse source problemtime-harmonic elastic wave

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Second-order elliptic equations (35J15) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Maxwell equations (35Q61)

Cites Work

• Unnamed Item
• Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements
• Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities
• Corners always scatter
• On an electromagnetic problem in a corner and its applications
• A neural network method for time-dependent inverse source problem with limited-aperture data
• An adaptive finite element DtN method for the elastic wave scattering problem
• Stable determination of an elastic medium scatterer by a single far-field measurement and beyond
• Stability for the inverse source problems in elastic and electromagnetic waves
• Two gesture-computing approaches by using electromagnetic waves
• Lipschitz stability for the inverse conductivity problem
• Uniqueness and increasing stability in electromagnetic inverse source problems
• Lipschitz Stability of an Inverse Boundary Value Problem for a Schrödinger-Type Equation
• Lipschitz continuous dependence of piecewise constant Lamé coefficients from boundary data: the case of non-flat interfaces
• Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves
• Lipschitz Stability for the Electrical Impedance Tomography Problem: The Complex Case
• An Inverse Source Problem for Maxwell's Equations in Magnetoencephalography
• Stable Determination of a Rigid Scatterer in Elastodynamics
• Nonuniqueness in the inverse source problem in acoustics and electromagnetics
• Radiating and non-radiating sources in elasticity
• The unique determination of neuronal currents in the brain via magnetoencephalography
• Imaging point sources in heterogeneous environments
• On the Characterization of Nonradiating Sources for the Elastic Waves in Anisotropic Inhomogeneous Media
• Recovering piecewise constant refractive indices by a single far-field pattern
• Inverse Source Problems in an Inhomogeneous Medium with a Single Far-Field Pattern
• Increasing Stability in Acoustic and Elastic Inverse Source Problems
• Lipschitz stability for an inverse source scattering problem at a fixed frequency ^*
• On a local geometric property of the generalized elastic transmission eigenfunctions and application
• An adaptive perfectly matched layer technique for 3-D time-harmonic electromagnetic scattering problems
• The inverse source problem for Maxwell's equations
• Notions of support for far fields

This page was built for publication: Determination of piecewise homogeneous sources for elastic and electromagnetic waves