Inverse Problems and Applications: Inside Out II
[Book Description]
Inverse problems lie at the heart of contemporary scientific inquiry and technological development. Applications include a variety of medical and other imaging techniques, which are used for early detection of cancer and pulmonary edema, location of oil and mineral deposits in the Earth's interior, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes, and modeling in the life sciences among others. The expository survey essays in this book describe recent developments in inverse problems and imaging, including hybrid or couple-physics methods arising in medical imaging, Calderon's problem and electrical impedance tomography, inverse problems arising in global seismology and oil exploration, inverse spectral problems, and the study of asymptotically hyperbolic spaces. It is suitable for graduate students and researchers interested in inverse problems and their applications.
[Table of Contents]
Preface ix
Calderon's inverse problem: imaging and 1 (54)
invisibility
Kari Astala
Matti Lassas
Lassi Paivarinta
Resistor network approaches to electrical 55 (64)
impedance tomography
Liliana Borcea
Vladimir Druskin
Fernando Guevara Vasquez
Alexander V. Mamonov
The Calderon inverse problem in two 119(48)
dimensions
Colin Guillarmou
Leo Tzou
The Calderon problem on Riemannian manifolds 167(82)
Mikko Salo
Enclosure methods for Helmholtz-type 249(22)
equations
Jenn-Nan Wang
Ting Zhou
Multiwave methods via ultrasound 271(54)
Plamen Stefanov
Gunther Uhlmann
Hybrid inverse problems and internal 325(44)
functionals
Guillaume Bal
Inverse problems for connections 369(42)
Gabriel P. Paternain
Elastic-wave inverse scattering based on 411(44)
reverse time migration with active and
passive source reflection data
Valeriy Brytik
Maarten V. De Hoop
Robert D. Van Der Hilst
Inverse problems in spectral geometry 455(32)
Kiril Datchev
Hamid Hezari
Microlocal analysis of asymptotically 487(42)
hyperbolic spaces and high energy resolvent
estimates
Andras Vasy
Transmission eigenvalues in inverse 529
scattering theory
Fioralba Cakoni
Houssem Haddar
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