Geometric Methods in Inverse Problems and PDE Control (eBook, PDF)

Redaktion: Croke, Chrisopher B.; Vogelius, Michael; Lasiecka, Irena; Uhlmann, Gunther

• Format: PDF

Produktbeschreibung

This volume contains a selection of articles based on lectures delivered at the IMA 2001 Summer Program after which it is named. 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.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 330
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781468493757
• Artikelnr.: 43994819

Inhaltsangabe

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.