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Titlebook: Inverse Problems for Partial Differential Equations; Victor Isakov Book 2017Latest edition Springer International Publishing AG 2017 Inver

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书目名称Inverse Problems for Partial Differential Equations
编辑Victor Isakov
视频videohttp://file.papertrans.cn/475/474687/474687.mp4
概述Covers most important recent developments in inverse problems.Presented in a readable and informative manner.Introduces both scientific and engineering researchers as well as graduate students to the
丛书名称Applied Mathematical Sciences
图书封面Titlebook: Inverse Problems for Partial Differential Equations;  Victor Isakov Book 2017Latest edition Springer International Publishing AG 2017 Inver
描述.This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years.  As in the second edition, the emphasis is on new ideas and methods rather than technical improvements. These new ideas include use of the stationary phase method in the two-dimensional elliptic problems and of multi frequencies emporal data to improve stability and numerical resolution. There are also numerous corrections and improvements of the exposition throughout..This book is intended for mathematicians working with partial differential equations and their applications, physicists, geophysicists, and financial, electrical, and mechanical engineers involved with nondestructive evaluation, seismic exploration, remote sensing, and various kinds of tomography..Review of the second edition:."The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. … The second edition is considerably expanded and reflects important recent developments in the field … . Some of the rese
出版日期Book 2017Latest edition
关键词Inverse Problems; Ill-posed Problems; Carleman Estimates; Uniqueness and Stability of the Continuation;
版次3
doihttps://doi.org/10.1007/978-3-319-51658-5
isbn_softcover978-3-319-84710-8
isbn_ebook978-3-319-51658-5Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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Elliptic Equations: Single Boundary Measurements, is an elliptic operator; i.e., there is .. > 0 such that .(.). ⋅ . ≥ .. | . | . for any vector . and any . ∈ .. Unless specified otherwise, we assume that . is a bounded domain in . with the boundary of class ... However, most of the results are valid for Lipschitz boundaries.
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Victor IsakovCovers most important recent developments in inverse problems.Presented in a readable and informative manner.Introduces both scientific and engineering researchers as well as graduate students to the
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Ill-Posed Problems and Regularization,In this chapter, we consider the equation
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Elliptic Equations: Many Boundary Measurements,We consider the Dirichlet problem (4.0.1), (4.0.2). At first we assume that for any Dirichlet data .. we are given the Neumann data ..; in other words, we know the results of all possible boundary measurements, or the so-called Dirichlet-to-Neumann operator ., which maps the Dirichlet data .. into the Neumann data ...
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