Geometric Methods in Inverse Problems and PDE Control

2004
ISBN: 978-0-387-40529-2
Verlag: Springer

Buch, Englisch, Band 137, 330 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1450 g

Reihe: The IMA Volumes in Mathematics and its Applications

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.

Zielgruppe

Research

Autoren/Hrsg.

Croke, Chrisopher B.

Vogelius, Michael

Uhlmann, Gunther

Lasiecka, Irena

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.