Analytical Methods for Recovering Coefficients in Differential Equations From Spectral Data

Analytical Methods for Recovering Coefficients in Differential Equations From Spectral Data

In this paper analytical methods for recovering coefficients from spectral data are discussed. Properties of these methods are given and mathematical models for which these methods might apply are presented.

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Veröffentlicht in:SIAM review 1986-03, Vol.28 (1), p.53-72
1. Verfasser: McLaughlin, Joyce R.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Boundary conditions
Coefficients
Differential equations
Eigenfunctions
Eigenvalues
Exact sciences and technology
Fourier transforms
Function theory, analysis
Inverse problems
Mathematical methods in physics
Mathematical models
Mathematics
Partial differential equations
Physics
Spectral methods
Spectral theory
Uniqueness
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Beschreibung
Zusammenfassung:In this paper analytical methods for recovering coefficients from spectral data are discussed. Properties of these methods are given and mathematical models for which these methods might apply are presented.
ISSN:0036-1445
1095-7200
DOI:10.1137/1028003