Open AccessSpectral estimation and inverse initial boundary value problems
Author(s) -
Sergei Avdonin,
Fritz Gesztesy,
Konstantin A. Makarov
Publication year - 2010
Publication title -
inverse problems and imaging
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.755
H-Index - 40
eISSN - 1930-8345
pISSN - 1930-8337
DOI - 10.3934/ipi.2010.4.1
Subject(s) - inverse problem , inverse , mathematics , boundary value problem , boundary (topology) , estimation , mathematical optimization , computer science , mathematical analysis , geometry , management , economics
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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