LEADER 00000cam 2200517Mi 4500
001 853262500
003 OCoLC
005 20140311085121.0
006 m o d
007 cr mnu---uuaaa
008 121227s2004 nyua o 000 0 eng
020 9781468493757 (electronic bk.)
020 1468493752 (electronic bk.)
035 (OCoLC)853262500
040 AU@|beng|epn|cAU@|dOCLCO|dOCLCQ|dOCLCO|dGW5XE|dOCLCQ
050 4 T57-57.97
082 04 519|223
100 1 Croke, Christopher B
245 10 Geometric Methods in Inverse Problems and PDE Control
|h[electronic resource] /|cedited by Christopher B. Croke,
Michael S. Vogelius, Gunther Uhlmann, Irena Lasiecka
260 New York, NY :|bSpringer New York,|c2004
300 1 online resource (x, 326 pages 11 illustrations)
336 text|btxt|2rdacontent
337 computer|bc|2rdamedia
338 online resource|bcr|2rdacarrier
490 1 The IMA Volumes in Mathematics and its Applications,|x0940
-6573 ;|v137
505 0 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
520 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
650 0 Mathematics
650 0 Differential equations, Partial
650 0 Global differential geometry
655 4 Electronic books
700 1 Vogelius, Michael S
700 1 Uhlmann, Gunther
700 1 Lasiecka, Irena
776 08 |iPrint version:|z9781441923417
830 0 IMA volumes in mathematics and its applications ;|v137
856 40 |3SpringerLink|uhttp://dx.doi.org/10.1007/978-1-4684-9375-
7