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Inverse Problems for Partial Differential Equations

Inverse Problems for Partial Differential Equations Author Victor Isakov
ISBN-10 9783319516585
Release 2017-03-25
Pages 408
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A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurement. By presenting the data in a readable and informative manner, the book introduces both scientific and engineering researchers as well as graduate students to the significant work done in this area in recent years, relating it to broader themes in mathematical analysis.



Inverse Problems in Partial Differential Equations

Inverse Problems in Partial Differential Equations Author David L. Colton
ISBN-10 0898712521
Release 1990-01-01
Pages 214
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Inverse Problems in Partial Differential Equations has been writing in one form or another for most of life. You can find so many inspiration from Inverse Problems in Partial Differential Equations also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Inverse Problems in Partial Differential Equations book for free.



Modern Aspects of the Theory of Partial Differential Equations

Modern Aspects of the Theory of Partial Differential Equations Author Michael V. Ruzhansky
ISBN-10 303480069X
Release 2011-05-04
Pages 368
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The book provides a quick overview of a wide range of active research areas in partial differential equations. The book can serve as a useful source of information to mathematicians, scientists and engineers. The volume contains contributions from authors from a large variety of countries on different aspects of partial differential equations, such as evolution equations and estimates for their solutions, control theory, inverse problems, nonlinear equations, elliptic theory on singular domains, numerical approaches.



Inverse Problems and Applications

Inverse Problems and Applications Author Plamen Stefanov
ISBN-10 9781470410797
Release 2014-05-05
Pages 309
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This volume contains the proceedings of two conferences on Inverse Problems and Applications, held in 2012, to celebrate the work of Gunther Uhlmann. The first conference was held at the University of California, Irvine, from June 18-22, 2012, and the second was held at Zhejiang University, Hangzhou, China, from September 17-21, 2012. The topics covered include inverse problems in medical imaging, scattering theory, geometry and image processing, and the mathematical theory of cloaking, as well as methods related to inverse problems.



Phase Space Analysis of Partial Differential Equations

Phase Space Analysis of Partial Differential Equations Author Antonio Bove
ISBN-10 0817645217
Release 2007-12-28
Pages 343
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This collection of original articles and surveys treats linear and nonlinear aspects of the theory of partial differential equations. Phase space analysis methods, also known as microlocal analysis, have yielded striking results over the past years and have become one of the main tools of investigation. Equally important is their role in many applications to physics, for example, in quantum and spectral theory. Contributors: H. Bahouri, M. Baouendi, E. Bernardi, M. Bony, A. Bove, N. Burq, J.-Y. Chemin, F. Colombini, T. Colin, P. Cordaro, G. Eskin, X. Fu, N. Hanges, G. Métivier, P. Michor, T. Nishitani, A. Parmeggiani,L. Pernazza, V. Petkov, F. Planchon, M. Prizzi, D. Del Santo, D. Tartakof, D. Tataru, F. Treves, C.-J. Xu, X. Zhang, E. Zuazua



Geometric Methods in Inverse Problems and PDE Control

Geometric Methods in Inverse Problems and PDE Control Author Chrisopher B. Croke
ISBN-10 9781468493757
Release 2012-12-06
Pages 330
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This IMA Volume in Mathematics and its Applications GEOMETRIC METHODS IN INVERSE PROBLEMS AND PDE CONTROL contains a selection of articles presented at 2001 IMA Summer Program with the same title. We would like to thank Christopher B. Croke (University of Penn sylva nia), Irena Lasiecka (University of Virginia), Gunther Uhlmann (University of Washington), and Michael S. Vogelius (Rutgers University) for their ex cellent work as organizers of the two-week summer workshop and for editing the volume. We also take this opportunity to thank the National Science Founda tion for their support of the IMA. Series Editors Douglas N. Arnold, Director of the IMA Fadil Santosa, Deputy Director of the IMA v PREFACE This volume contains a selected number of articles based on lectures delivered at the IMA 2001 Summer Program on "Geometric Methods in Inverse Problems and PDE Control. " The focus of this program was some common techniques used in the study of inverse coefficient problems and control problems for partial differential equations, with particular emphasis on their strong relation to fundamental problems of geometry. Inverse coef ficient problems for partial differential equations arise in many application areas, for instance in medical imaging, nondestructive testing, and geophys ical prospecting. Control problems involving partial differential equations may arise from the need to optimize a given performance criterion, e. g. , to dampen out undesirable vibrations of a structure , or more generally, to obtain a prescribed behaviour of the dynamics.



Optimization and Regularization for Computational Inverse Problems and Applications

Optimization and Regularization for Computational Inverse Problems and Applications Author Yanfei Wang
ISBN-10 3642137423
Release 2011-06-29
Pages 400
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"Optimization and Regularization for Computational Inverse Problems and Applications" focuses on advances in inversion theory and recent developments with practical applications, particularly emphasizing the combination of optimization and regularization for solving inverse problems. This book covers both the methods, including standard regularization theory, Fejer processes for linear and nonlinear problems, the balancing principle, extrapolated regularization, nonstandard regularization, nonlinear gradient method, the nonmonotone gradient method, subspace method and Lie group method; and the practical applications, such as the reconstruction problem for inverse scattering, molecular spectra data processing, quantitative remote sensing inversion, seismic inversion using the Lie group method, and the gravitational lensing problem. Scientists, researchers and engineers, as well as graduate students engaged in applied mathematics, engineering, geophysics, medical science, image processing, remote sensing and atmospheric science will benefit from this book. Dr. Yanfei Wang is a Professor at the Institute of Geology and Geophysics, Chinese Academy of Sciences, China. Dr. Sc. Anatoly G. Yagola is a Professor and Assistant Dean of the Physical Faculty, Lomonosov Moscow State University, Russia. Dr. Changchun Yang is a Professor and Vice Director of the Institute of Geology and Geophysics, Chinese Academy of Sciences, China.



Proceedings of the Conference on Differential Difference Equations and Applications

Proceedings of the Conference on Differential   Difference Equations and Applications Author Ravi P. Agarwal
ISBN-10 9775945380
Release 2006
Pages 1237
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Proceedings of the Conference on Differential Difference Equations and Applications has been writing in one form or another for most of life. You can find so many inspiration from Proceedings of the Conference on Differential Difference Equations and Applications also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Proceedings of the Conference on Differential Difference Equations and Applications book for free.



Perspectives in Mathematical Sciences

Perspectives in Mathematical Sciences Author Yisong Yang
ISBN-10 9789814289306
Release 2010-01
Pages 354
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Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction

Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction Author Dang D. Ang
ISBN-10 9783540456582
Release 2004-10-14
Pages 186
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Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations.



Inverse Problems and Related Topics

Inverse Problems and Related Topics Author Gen Nakamura
ISBN-10 1584881917
Release 2000-02-28
Pages 248
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Inverse problems arise in many disciplines and hold great importance to practical applications. However, sound new methods are needed to solve these problems. Over the past few years, Japanese and Korean mathematicians have obtained a number of very interesting and unique results in inverse problems. Inverse Problems and Related Topics compiles papers authored by some of the top researchers in Korea and Japan. It presents a number of original and useful results and offers a unique opportunity to explore the current trends of research in inverse problems in these countries. Highlighting the existence and active work of several Japanese and Korean groups, it also serves as a guide to those seeking future scientific exchange with researchers in these countries.



Numerical Methods for Differential Equations Optimization and Technological Problems

Numerical Methods for Differential Equations  Optimization  and Technological Problems Author Sergey Repin
ISBN-10 9789400752887
Release 2012-10-13
Pages 444
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This book contains the results in numerical analysis and optimization presented at the ECCOMAS thematic conference “Computational Analysis and Optimization” (CAO 2011) held in Jyväskylä, Finland, June 9–11, 2011. Both the conference and this volume are dedicated to Professor Pekka Neittaanmäki on the occasion of his sixtieth birthday. It consists of five parts that are closely related to his scientific activities and interests: Numerical Methods for Nonlinear Problems; Reliable Methods for Computer Simulation; Analysis of Noised and Uncertain Data; Optimization Methods; Mathematical Models Generated by Modern Technological Problems. The book also includes a short biography of Professor Neittaanmäki.



Global Carleman Estimates for Degenerate Parabolic Operators with Applications

Global Carleman Estimates for Degenerate Parabolic Operators with Applications Author P. Cannarsa
ISBN-10 9781470414962
Release 2016-01-25
Pages 209
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Degenerate parabolic operators have received increasing attention in recent years because they are associated with both important theoretical analysis, such as stochastic diffusion processes, and interesting applications to engineering, physics, biology, and economics. This manuscript has been conceived to introduce the reader to global Carleman estimates for a class of parabolic operators which may degenerate at the boundary of the space domain, in the normal direction to the boundary. Such a kind of degeneracy is relevant to study the invariance of a domain with respect to a given stochastic diffusion flow, and appears naturally in climatology models.



An Introduction to Mathematics of Emerging Biomedical Imaging

An Introduction to Mathematics of Emerging Biomedical Imaging Author Habib Ammari
ISBN-10 9783540795537
Release 2008-05-21
Pages 198
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Biomedical imaging is a fascinating research area to applied mathematicians. Challenging imaging problems arise and they often trigger the investigation of fundamental problems in various branches of mathematics. This is the first book to highlight the most recent mathematical developments in emerging biomedical imaging techniques. The main focus is on emerging multi-physics and multi-scales imaging approaches. For such promising techniques, it provides the basic mathematical concepts and tools for image reconstruction. Further improvements in these exciting imaging techniques require continued research in the mathematical sciences, a field that has contributed greatly to biomedical imaging and will continue to do so. The volume is suitable for a graduate-level course in applied mathematics and helps prepare the reader for a deeper understanding of research areas in biomedical imaging.



Control of Partial Differential Equations

Control of Partial Differential Equations Author Fatiha Alabau-Boussouira
ISBN-10 9783642278938
Release 2012-04-23
Pages 344
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The term “control theory” refers to the body of results - theoretical, numerical and algorithmic - which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. This monograph is concerned with models that can be described by partial differential equations of evolution. It contains five major contributions and is connected to the CIME Course on Control of Partial Differential Equations that took place in Cetraro (CS, Italy), July 19 - 23, 2010. Specifically, it covers the stabilization of evolution equations, control of the Liouville equation, control in fluid mechanics, control and numerics for the wave equation, and Carleman estimates for elliptic and parabolic equations with application to control. We are confident this work will provide an authoritative reference work for all scientists who are interested in this field, representing at the same time a friendly introduction to, and an updated account of, some of the most active trends in current research.



Geometric Regularization in Bioluminescence Tomography

Geometric Regularization in Bioluminescence Tomography Author Kreutzmann, Tim
ISBN-10 9783731501428
Release 2014-01-16
Pages 195
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Geometric Regularization in Bioluminescence Tomography has been writing in one form or another for most of life. You can find so many inspiration from Geometric Regularization in Bioluminescence Tomography also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Geometric Regularization in Bioluminescence Tomography book for free.



New Directions and Applications in Control Theory

New Directions and Applications in Control Theory Author Wijesuriya P. Dayawansa
ISBN-10 3540239537
Release 2005-08-31
Pages 400
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This volume contains a collection of papers in control theory and applications presented at a conference in honor of Clyde Martin on the occasion of his 60th birthday, held in Lubbock, Texas, November 14-15, 2003.