Spectral estimation and inverse initial boundary valueproblems

Sergei Avdonin; Fritz Gesztesy; Konstantin A. Makarov

doi:10.3934/ipi.2010.4.1

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2010, Volume 4, Issue 1: 1-9. Doi: 10.3934/ipi.2010.4.1

This issue Previous Article Next Article A theoretical framework for the regularization of Poisson likelihood estimation problems

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

Received: February 28, 2009

Revised: September 30, 2009

Published: January 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 93B05, 93B15; Secondary: 35P10, 35R30.

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