Inverse Problems for Partial Differential Equations
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※上記表示の販売価格は割引適用後の価格です 出版済み 3週間でお届けいたします。 Softcover reprint of the original 3rd ed. 2017 Series: Applied Mathematical Sciences Author: Isakov, Victor Publisher: Springer ISBN: 9783319847108 Cover: PAPERBACK Date: 2018年07月 DESCRIPTION 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\temporal 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 research problems from the first edition have been solved … .' (Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006) Table of Contents Inverse Problems.- Ill-Posed Problems and Regularization.- Uniqueness and Stability in the Cauchy Problem.- Elliptic Equations: Single Boundary Measurements.- Elliptic Equations: Many Boundary Measurements.- Scattering Problems and Stationary Waves.- Integral Geometry and Tomography.- Hyperbolic Problems.- Inverse Parabolic Problems.- Some Numerical Methods.- Appendix: Functional Spaces. TABLE OF CONTENTS 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\temporal 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 research problems from the first edition have been solved ... .' (Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006)
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