scholarly journals An Interior Inverse Problem for the Diffusion Operator

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
A. Dabbaghian ◽  
H. Jafari ◽  
N. Yosofi
Keyword(s):  
Inverse Problem ◽  
Diffusion Operator

Determination of an impulsive diffusion operator from interior spectral data

Analysis ◽  
2020 ◽  
Vol 40 (1) ◽  
pp. 39-45
Author(s):  
Yasser Khalili ◽  
Dumitru Baleanu
Keyword(s):  
Inverse Problem ◽  
Spectral Data ◽  
Potential Functions ◽  
Half Line ◽  
Internal Point ◽  
Diffusion Operator ◽  
Impulsive Diffusion

AbstractIn the present work, the interior spectral data is used to investigate the inverse problem for a diffusion operator with an impulse on the half line. We show that the potential functions {q_{0}(x)} and {q_{1}(x)} can be uniquely established by taking a set of values of the eigenfunctions at some internal point and one spectrum.

scholarly journals A new inverse problem for the diffusion operator

2006 ◽  
Vol 19 (10) ◽  
pp. 995-999 ◽  
Author(s):  
Hikmet Koyunbakan
Keyword(s):  
Inverse Problem ◽  
Diffusion Operator

scholarly journals Half inverse problem for the impulsive diffusion operator with discontinuous coefficient

Filomat ◽  
2016 ◽  
Vol 30 (1) ◽  
pp. 157-168 ◽  
Author(s):  
Yaşar Çakmak ◽  
Seval Işık
Keyword(s):  
Inverse Problem ◽  
Discontinuous Coefficient ◽  
Diffusion Operator ◽  
Impulsive Diffusion ◽  
Half Inverse Problem

The half inverse problem is to construct coefficients of the operator in a whole interval by using one spectrum and potential known in a semi interval. In this paper, by using the Hocstadt-Lieberman and Yang-Zettl?s methods we show that if p(x) and q(x) are known on the interval (?/2,?), then only one spectrum suffices to determine p (x),q(x) functions and ?,h coefficients on the interval (0,?) for impulsive diffusion operator with discontinuous coefficient.

A uniqueness result for differential pencils with discontinuities from interior spectral data

Analysis ◽  
2019 ◽  
Vol 38 (4) ◽  
pp. 195-202
Author(s):  
Yasser Khalili ◽  
Dumitru Baleanu
Keyword(s):  
Inverse Problem ◽  
Spectral Data ◽  
Uniqueness Result ◽  
Half Line ◽  
Internal Point ◽  
Diffusion Operator ◽  
Differential Pencils

Abstract In this work, the interior spectral data is employed to study the inverse problem for a differential pencil with a discontinuity on the half line. By using a set of values of the eigenfunctions at some internal point and eigenvalues, we obtain the functions {q_{0}(x)} and {q_{1}(x)} applied in the diffusion operator.

Reconstruction of the Diffusion Operator from Nodal Data

2010 ◽  
Vol 65 (1-2) ◽  
pp. 100-106 ◽  
Author(s):  
Chuan-Fu Yang
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Boundary Conditions ◽  
Finite Interval ◽  
Dense Subset ◽  
Diffusion Operator ◽  
Nodal Points ◽  
Nodal Data

AbstractIn this paper, we deal with the inverse problem of reconstructing the diffusion equation on a finite interval. We prove that a dense subset of nodal points uniquely determine the boundary conditions and the coefficients of the diffusion equation. We also provide constructive procedure for them.

AN INVERSE PROBLEM IN THE DYNAMICAL REATOR THEORY

1982 ◽  
Vol 2 (1) ◽  
pp. 9-16 ◽  
Author(s):  
Dexing Feng ◽  
Guangtian Zhu
Keyword(s):  
Inverse Problem
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