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A uniqueness theorem from partial transmission eigenvalues and potential on a subdomain
Author(s) -
Yang ChuanFu
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3500
Subject(s) - mathematics , uniqueness , eigenvalues and eigenvectors , bounded function , uniqueness theorem for poisson's equation , interval (graph theory) , mathematical analysis , sturm–liouville theory , partial differential equation , transmission (telecommunications) , pure mathematics , combinatorics , boundary value problem , quantum mechanics , physics , electrical engineering , engineering
It is well known that a spherically symmetric wave speed problem in a bounded spherical region may be reduced, by means of Liouville transform, to the Sturm–Liouville problem L ( q ) in a finite interval. In this work, a uniqueness theorem for the potential q of the derived Sturm–Liouville problem L ( q ) is proved when the data are partial knowledge of the given spectra and the potential. Copyright © 2016 John Wiley & Sons, Ltd.