Overview

This volume contains a selection of articles based on lectures delivered at the IMA 2001 Summer Program on Geometric Methods in Inverse Problems and PDE Control. 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. This book will serve as an excellent starting point for researchers wanting to pursue studies at the intersection of these mathematically exciting and practically important subjects.

Full Product Details

Author:   Chrisopher B. Croke ,  Gunther Uhlmann ,  Irena Lasiecka ,  Michael Vogelius
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2004 ed.
Volume:   137
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   1.450kg
ISBN:  

9780387405292

ISBN 10:   0387405291
Pages:   330
Publication Date:   26 February 2004
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

On the construction of isospectral manifolds.- Statistical stability and time-reversal imaging in random media.- A review of selected works on crack identification.- Rigidity theorems in Riemannian geometry.- The case for differential geometry in the control of single and coupled PDEs: the structural acoustic chamber.- Energy measurements and equivalence of boundary data for inverse problems on non-compact manifolds.- Ray transform and some rigidity problems for Riemannian metrics.- Unique continuation problems for partial differential equations.- Remarks on Fourier integral operators.- The Cauchy data and the scattering relation.- Inverse resonance problem for Z2-symmetric analytic obstacles in the plane.- List of workshop participants.

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