Geometric Methods in Inverse Problems and Pde Control Hardcover - 2004
by Chrisopher B. Croke (Editor); Gunther Uhlmann (Editor); Irena Lasiecka (Editor)
First line
Let M be a closed Riemannian manifold.
From the rear 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.
Details
- Title Geometric Methods in Inverse Problems and Pde Control
- Author Chrisopher B. Croke (Editor); Gunther Uhlmann (Editor); Irena Lasiecka (Editor)
- Binding Hardcover
- Edition 1st
- Pages 330
- Volumes 1
- Language ENG
- Publisher Springer, New York
- Date 2004-02-26
- Illustrated Yes
- Features Bibliography, Illustrated, Maps
- ISBN 9780387405292 / 0387405291
- Weight 1.45 lbs (0.66 kg)
- Dimensions 9.21 x 6.14 x 0.81 in (23.39 x 15.60 x 2.06 cm)
- Library of Congress subjects Differential equations, Partial, Control theory
- Library of Congress Catalog Number 2003054414
- Dewey Decimal Code 515.353
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GEOMETRIC METHODS IN INVERSE PROBLEMS AND PDE CONTROL (THE IMA VOLUMES IN MATHEMATICS AND ITS APPLICATIONS)
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GEOMETRIC METHODS IN INVERSE PROBLEMS AND PDE CONTROL (THE IMA VOLUMES IN MATHEMATICS AND ITS APPLICATIONS)
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Geometric Methods in Inverse Problems and PDE Control (The IMA Volumes in Mathematics and its Applications, 137)
by Croke, Chrisopher B. [Editor]; Uhlmann, Gunther [Editor]; Lasiecka, Irena [Editor]; Vogelius, Michael [Editor];
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Geometric Methods In Inverse Problems And Pde Control
by Christopher B. Croke, Gunther Uhlmann, Irena Lasiecka, Michael S. Vogeliu,
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