Cambridge University Press, 12/17/2012EAN 9781107032019, ISBN10: 1107032016Hardcover, 592 pages, 24.2 x 16.1 x 3.4 cmLanguage: EnglishInverse 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.1. The Calderon's inverse problemimaging and invisibility Kari Astala, Matti Lassas and Lassi Paivarinta2. Resistor network approaches to electrical impedance tomography Liliana Borcea, Vladimir Druskin, Fernando Guevara Vasquez and Alexander V. Mamonov3. Calderon inverse problem in two dimensions Colin Guillarmou and Leo Tzou4. The Calderon problem on Riemannian manifolds Mikko Salo5. Enclosure methods for the Helmholtz-type equations Jenn-Nan Wang and Ting Zhou6. Multiwave methods via ultrasound Plamen Stefanov and Gunther Uhlmann7. Hybrid inverse problems and internal functionals Guillaume Bal8. Inverse problems for connections Gabriel P. Paternain9. Elastic-wave inverse scattering based on reverse time migration with active and passive source reflection data Valeriy Brytik, Maarten V. de Hoop and Robert D. van der Hilst10. Inverse problems in spectral geometry Kiril Datchev and Hamid Hezari11. Microlocal analysis of asymptotically hyperbolic spaces and high energy resolvent estimates Andras Vasy12. Transmission eigenvalues in inverse scattering theory Fioralba Cakoni and Houssem Haddar.
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