An Interior Inverse Problem for the Diffusion Operator
Author(s) -
A. Dabbaghian,
Hossein Jafari,
N. Yosofi
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/320456
Subject(s) - mathematics , inverse , eigenfunction , interval (graph theory) , operator (biology) , mathematical analysis , matrix (chemical analysis) , classification of discontinuities , combinatorics , path (computing) , geometry , physics , eigenvalues and eigenvectors , chemistry , quantum mechanics , repressor , computer science , biochemistry , chromatography , transcription factor , gene , programming language
An inverse problem for the diffusion operator on a finite interval with discontinuities conditions inside the interval is studied. We have shown that the potential function of the diffusion operator can be established uniquely by a set of values of eigenfunctions at the midpoint of the interval and one spectrum
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