Reconstruction of piecewise smooth wave speeds using multiple scattering

Peter Caday, Maarten V. de Hoop, Vitaly Katsnelson, Günther Uhlmann

Type: Article

Publication Date: 2019-03-20

Citations: 8

DOI: https://doi.org/10.1090/tran/7632

View Publication

Locations

arXiv (Cornell University) - View - PDF
Transactions of the American Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+	Reconstruction of piecewise smooth wave speeds using multiple scattering	2018	Peter Caday Maarten V. de Hoop Vitaly Katsnelson Günther Uhlmann
+	Reconstruction of piecewise smooth wave speeds using multiple scattering	2018	Peter Caday Maarten V. de Hoop Vitaly Katsnelson Günther Uhlmann
+ PDF Chat	Scattering Control for the Wave Equation with Unknown Wave Speed	2018	Peter Caday Maarten V. de Hoop Vitaly Katsnelson Günther Uhlmann
+	A Lipschitz stable reconstruction formula for the inverse problem for the wave equation	2012	Shitao Liu Lauri Oksanen
+	Recovery of piecewise smooth density and Lamé parameters from high-frequency exterior Cauchy data	2022	Sombuddha Bhattacharyya Maarten V. de Hoop Vitaly Katsnelson Günther Uhlmann
+ PDF Chat	Recovery of Piecewise Smooth Density and Lamé Parameters from High Frequency Exterior Cauchy Data	2022	Sombuddha Bhattacharyya Maarten V. de Hoop Vitaly Katsnelson Günther Uhlmann
+	Inverse Scattering and Tomography, Delay Differential Equations in Cyber-Physical Systems	2020	Siamak RabieniaHaratbar
+ PDF Chat	Multiwave imaging in an enclosure with variable wave speed	2015	Sebastián Acosta Carlos Montalto
+	Recovery of discontinuous Lam\'e parameters from local dynamic boundary data.	2019	Peter Caday Maarten V. de Hoop Vitaly Katsnelson Günther Uhlmann
+ PDF Chat	Recovery of Nonsmooth Coefficients Appearing in Anisotropic Wave Equations	2019	Ali Feizmohammadi Yavar Kian
+	Global recovery of a time-dependent coefficient for the wave equation from a single measurement	2020	Ali Feizmohammadi Yavar Kian
+ PDF Chat	Global recovery of a time-dependent coefficient for the wave equation from a single measurement	2022	Ali Feizmohammadi Yavar Kian
+	Multi-level elastic full waveform inversion in isotropic media via quantitative Lipschitz stability estimates	2014	Florian Faucher Jia Shi Maarten V. de Hoop Henri Calandra
+ PDF Chat	Thermo- and Photoacoustic Tomography with Variable Speed and Planar Detectors	2017	Plamen Stefanov Yang Yang
+	Multiple-wave propagation and causality	1964
+	Recovery of discontinuous Lamé parameters from local dynamic boundary data	2019	Peter Caday Maarten V. de Hoop Vitaly Katsnelson Günther Uhlmann
+	Determining both the source of a wave and its speed in a medium from boundary measurements	2018	Christina Knox Amir Moradifam
+ PDF Chat	Abel transforms with low regularity with applications to x-ray tomography on spherically symmetric manifolds	2017	Maarten V. de Hoop Joonas Ilmavirta
+	Recovery of a source term or a speed with one measurement and applications	2011	Plamen Stefanov Günther Uhlmann
+	Recovery of a source term or a speed with one measurement and applications	2011	Plamen Stefanov Günther Uhlmann

Works That Cite This (7)

Action	Title	Year	Authors
+	Recovery of discontinuous Lam\'e parameters from local dynamic boundary data.	2019	Peter Caday Maarten V. de Hoop Vitaly Katsnelson Günther Uhlmann
+	Recovery of discontinuous Lamé parameters from exterior Cauchy data	2021	Peter Caday Maarten V. de Hoop Vitaly Katsnelson Günther Uhlmann
+ PDF Chat	Unique Recovery of Piecewise Analytic Density and Stiffness Tensor from the Elastic-Wave Dirichlet-To-Neumann Map	2019	Maarten V. de Hoop Gen Nakamura Jian Zhai
+ PDF Chat	Deep learning architectures for nonlinear operator functions and nonlinear inverse problems	2022	Maarten V. de Hoop Matti Lassas Christopher A. Wong
+ PDF Chat	Recovery of Piecewise Smooth Density and Lamé Parameters from High Frequency Exterior Cauchy Data	2022	Sombuddha Bhattacharyya Maarten V. de Hoop Vitaly Katsnelson Günther Uhlmann
+	Reciprocity-gap misfit functional for Distributed Acoustic Sensing, combining data from passive and active sources.	2020	Florian Faucher Maarten V. de Hoop Otmar Scherzer
+	Reciprocity-gap misfit functional for distributed acoustic sensing, combining data from passive and active sources	2020	Florian Faucher Maarten V. de Hoop Otmar Scherzer

Works Cited by This (20)

Action	Title	Year	Authors
+	Inverse Problems of Mathematical Physics	1986	V. G. Romanov
+ PDF Chat	The inverse problem for the local geodesic ray transform	2015	Günther Uhlmann András Vasy
+	None	2005	Plamen Stefanov Günther Uhlmann
+	A Hardy space for Fourier integral operators	1998	Hart F. Smith
+ PDF Chat	Rigidity of broken geodesic flow and inverse problems	2010	Yaroslav Kurylev Matti Lassas Günther Uhlmann
+ PDF Chat	Multiscale Discrete Approximations of Fourier Integral Operators Associated with Canonical Transformations and Caustics	2013	Maarten V. de Hoop Günther Uhlmann András Vasy Herwig Wendt
+ PDF Chat	The order and symbol of a distribution	1978	Alan Weinstein
+	Wave packets and fourier integral operators	1978	Antonio Córdoba Charles Fefferman
+ PDF Chat	Sharp local well-posedness results for the nonlinear wave equation	2005	Hart F. Smith Daniel Tataru
+	Boundary control in reconstruction of manifolds and metrics (the BC method)	1997	Μ. I. Belishev