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Geometric Methods in Inverse Problems and PDE Control (Hardcover, 2004 ed.)
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Geometric Methods in Inverse Problems and PDE Control (Hardcover, 2004 ed.)
Series: The IMA Volumes in Mathematics and its Applications, 137
Expected to ship within 12 - 17 working days
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This IMA Volume in Mathematics and its Applications GEOMETRIC
METHODS IN INVERSE PROBLEMS AND PDE CONTROL contains a selection of
articles presented at 2001 IMA Summer Program with the same title.
We would like to thank Christopher B. Croke (University of Penn
sylva nia), Irena Lasiecka (University of Virginia), Gunther
Uhlmann (University of Washington), and Michael S. Vogelius
(Rutgers University) for their ex cellent work as organizers of the
two-week summer workshop and for editing the volume. We also take
this opportunity to thank the National Science Founda tion for
their support of the IMA. Series Editors Douglas N. Arnold,
Director of the IMA Fadil Santosa, Deputy Director of the IMA v
PREFACE This volume contains a selected number of articles based on
lectures delivered at the IMA 2001 Summer Program on "Geometric
Methods in Inverse Problems and PDE Control. " The focus of this
program was some common techniques used in the study of inverse
coefficient problems and control problems for partial differential
equations, with particular emphasis on their strong relation to
fundamental problems of geometry. Inverse coef ficient problems for
partial differential equations arise in many application areas, for
instance in medical imaging, nondestructive testing, and geophys
ical prospecting. Control problems involving partial differential
equations may arise from the need to optimize a given performance
criterion, e. g. , to dampen out undesirable vibrations of a
structure , or more generally, to obtain a prescribed behaviour of
the dynamics.
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