# American Institute of Mathematical Sciences

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