Spectral estimation and inverse initial boundary value problems

Pages: 1 - 9, Volume 4, Issue 1, February 2010

doi:10.3934/ipi.2010.4.1       Abstract        Full Text (158.0K)       Related Articles

Sergei Avdonin - Department of Mathematics and Statistics, University of Alaska, Fairbanks, AK 99775-6660, United States (email)
Fritz Gesztesy - Department of Mathematics, University of Missouri, Columbia, MO 65211, United States (email)
Konstantin A. Makarov - Department of Mathematics, University of Missouri, Columbia, MO 65211, United States (email)

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.

Keywords:  Spectral estimation, inverse problems, boundary control method.
Mathematics Subject Classification:  Primary: 93B05, 93B15; Secondary: 35P10, 35R30.

Received: March 2009;      Revised: October 2009;      Published: February 2010.