Geometric Methods in Inverse Problems and PDE Control (The IMA Volumes in Mathematics and its Applications, 137)

ISBN 10: 1441923411 / ISBN 13: 9781441923417

Published by Springer, 2010

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Bibliographic Details

• Title: Geometric Methods in Inverse Problems and PDE Control (The IMA Volumes in Mathematics and its Applications, 137)
• Publisher: Springer
• Publication Date: 2010
• Language: English
• ISBN 10: 1441923411
• ISBN 13: 9781441923417
• Binding: Paperback
• Condition: New
• Book Type: book

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Synopsis

 

This volume contains a selection of articles based on lectures delivered at the IMA 2001 Summer Program after which it is named. The articles are focused around a set of common tools used in the study of inverse coefficient and control problems for PDEs and related differential geometric problems.

From the Back Cover

This volume contains a slected number of articles based on lectures delivered at the IMA 2001 Summer Program on Geometric Methods in Inverse Problems and PDE Control. This program was focused on a set of common tools that are used in the study of inverse coefficient problems and control problems for partial differential equations, and in particular on their strong relation to fundamental problems of differential geometry. Examples of such tools are Dirichlet-to-Neumann data boundary maps, unique continuation results, Carleman estimates, microlocal analysis and the so-called boundary control method. Examples of intimately connected fundamental problems in differential geometry are the boundary rigidity problem and the isospectral problem. The present volume provides a broad survey of recent progress concerning inverse and control problems for PDEs and related differential geometric problems. It is hoped that it will also serve as an excellent ``point of departure" for researchers who will want to pursue studies at the intersection of these mathematically exciting, and practically important subjects.