Descript 
1 online resource (x, 326 pages 11 illustrations) 

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computer c rdamedia 

online resource cr rdacarrier 
Series 
The IMA Volumes in Mathematics and its Applications, 09406573 ; 137


IMA volumes in mathematics and its applications ; 137

Note 
On the construction of isospectral manifolds  Statistical stability and timereversal 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 noncompact 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 Z2symmetric analytic obstacles in the plane 

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 DirichlettoNeumann data boundary maps, unique continuation results, Carleman estimates, microlocal analysis and the socalled 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 
Link 
Print version: 9781441923417

Subject 
Mathematics


Differential equations, Partial


Global differential geometry


Electronic books

Alt Author 
Vogelius, Michael S


Uhlmann, Gunther


Lasiecka, Irena

