February  2010, 4(1): 1-9. doi: 10.3934/ipi.2010.4.1

Spectral estimation and inverse initial boundary value problems

1. 

Department of Mathematics and Statistics, University of Alaska, Fairbanks, AK 99775-6660

2. 

Department of Mathematics, University of Missouri, Columbia, MO 65211, United States

Received  March 2009 Revised  October 2009 Published  February 2010

We extend the classical spectral estimation problem to the infinite-dimensional case and propose a new approach to this problem using the Boundary Control (BC) method. Several applications to inverse problems for partial differential equations are provided.
Citation: Sergei Avdonin, Fritz Gesztesy, Konstantin A. Makarov. Spectral estimation and inverse initial boundary value problems. Inverse Problems and Imaging, 2010, 4 (1) : 1-9. doi: 10.3934/ipi.2010.4.1
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