Zobrazeno 1 - 10 of 19 pro vyhledávání: '"Ya. V. Kurylev"'
1
To the reconstruction of two unknown coefficients in a multidimensional isotropic inverse problem
Autor: Ya. V. Kurylev
Publikováno v: Journal of Mathematical Sciences. 83:267-270
A procedure is suggested for recovering two unknown coefficients in an isotropic elliptic operator given in a bounded domain. The BC-method developed by M. I. Belishev is used for solving this problem.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f00a267123616bd1a09a838563bc16d6
https://doi.org/10.1007/bf02405821
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2
Scattering on a line. I. Existence of wave operators and asymptotic completeness in the periodic case
Autor: Ya. V. Kurylev
Publikováno v: Journal of Mathematical Sciences. 73:385-388
Existence of wave operators for scattering on a line in R3 is proved. It is shown that the completeness of have operators is violated in the case of a line with periodic boundary conditions. However, the asymptotic completeness and unitary property o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4c9d06c1ff775378d92aee4084b39b90
https://doi.org/10.1007/bf02362825
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3
The method of transformation operators in the inverse scattering problem. The one-dimensional stark effect
Autor: A. P. Kachalov, Ya. V. Kurylev
Publikováno v: Journal of Soviet Mathematics. 57:3111-3122
The inverse scattering problem is considered for the Stark operator -d 2/dx 2 + x + V(x) on the whole axis ℝ The Gel'fand-Levitan integral equation is obtained by the method of transformation operators on the basis of the triangular representation
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::25b402c5bca1a0a2c374400a0890e6fa
https://doi.org/10.1007/bf01098978
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4
Asymptotic behavior of the Jost function of a two-dimensional Schr�dinger operator
Autor: A. P. Kachalov, Ya. V. Kurylev
Publikováno v: Journal of Soviet Mathematics. 55:1712-1717
We find the asymptotic behavior of the Jost functionχ(Z,λ) of a two-dimensional Schrodinger operator for arbitrary λɛℂ and Z/|Z|ɛS1 as |Z|→∞ We discuss consequences of the asymptotic formulas for the inverse scattering problem.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fc89a21123cd9929f0cfdf89b3024003
https://doi.org/10.1007/bf01098209
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5
Nonsteady inverse problem for the multidimensional wave equation ?in the large?
Autor: Mikhail I. Belishev, Ya. V. Kurylev
Publikováno v: Journal of Soviet Mathematics. 50:1944-1951
The nonsteady (dynamic) inverse problem of reconstructing the variable velocity of wave propagation in a multidimensional region Ω with a smooth boundary Г is studied.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bd63730123a3998a93f6b1df94976fa7
https://doi.org/10.1007/bf01095575
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6
Inverse problem of acoustic scattering in a space with a local inhomogeneity
Autor: Mikhail I. Belishev, Ya. V. Kurylev
Publikováno v: Journal of Soviet Mathematics. 50:1696-1702
An inclusion of finite size with a variable wave propagation velocity is contained in a homogeneous space. It is exposed to plane waves being propagated in all possible directions. The inverse problem is to restore the velocity by means of the scatte
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8ca31c1e4c1c6a8f27421595c4fd71a5
https://doi.org/10.1007/bf01097098
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7
?Quasiphoton? in an active medium. II. An example: The one-dimensional wave equation with a small deviating argument
Autor: Ya. V. Kurylev
Publikováno v: Journal of Soviet Mathematics. 50:1766-1770
In the present work we use the example of the one-dimensional wave equation with a small deviating argument to illustrate the constructions of the author's previous paper “‘Quasiphoton’ in an active medium”. The significance of the concept of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bf97246c329b4f50016e03175891877a
https://doi.org/10.1007/bf01097107
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8
Inverse scattering proble for a one-dimensional Stark effect Hamiltonian
Autor: Ya V Kurylev, Alexander Katchalov
Publikováno v: Inverse Problems. 6:L1-L6
The reflection coefficient is used to reconstruct a one-dimensional Stark-effect Hamiltonian. The main tool is the transformation operator, which reduces the inverse scattering problem to a Gelfand-Levitan-type integral equation.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::22881a1c5d7bef038e38bd210b2a0ff3
https://doi.org/10.1088/0266-5611/6/1/001
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10
Incomplete spectral data and the reconstruction of a Riemannian manifold
Autor: Alexander Katchalov, Ya. V. Kurylev
Publikováno v: Journal of Inverse and Ill-Posed Problems. 1
The paper concerns the problem of a Riemannian manifold reconstruction using incomplete boundary spectral data of its Laplace-Beltrami operator with the Neumann boundary condition. The reconstruction procedure is based upon the boundary control metho
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::20c700984c6ac9c232e0660099f72538
https://doi.org/10.1515/jiip.1993.1.2.141
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