Author: M. Sh. Birman
Publisher: Springer Science & Business Media
ISBN: 1468475959
Category : Science
Languages : en
Pages : 118
Book Description
The articles in this collection are devoted to various problems in mathematical physics and mathematical analysis, primarily in the fields of spectral theory and the theory of wave processes. The collection is intended for mathematicians sPf>cializing in the fields of mathematical physics, functional analysis, and the theory of differential equations. In addition, it is of some interest to theoretical physicists. The first paper deals with a mixed boundary value problem for a system of elasticity equations, and considers fields in the neighborhood of various wave fronts. The method used permits an estimate of the errors in the Ben-Menahem approximate method. Paper 2 investigates operators in separable Hilbert space given by double integrals of a type defined at the beginning of the paper, and in which integration is understood as the limit of the integral sums of Riemann-stieltjes. In paper 3, the problem of calculation of elastic constants for a laminarly inhomogeneous semi-infinite medium is conSidered, and the uniqueness of the solution of the inverse seismic problem at finite depth proved. The fourth paper gives a detailed account of the results of an earlier paper by the same author, in which he generalized to the three-dimensional case the trace formulas obtained for the one-dimensional Schroedinger operator. Asymptotic estimates of the resolvent kernel and solutions of the scattering problem are given.
Spectral Theory and Wave Processes
Author: M. Sh. Birman
Publisher: Springer Science & Business Media
ISBN: 1468475959
Category : Science
Languages : en
Pages : 118
Book Description
The articles in this collection are devoted to various problems in mathematical physics and mathematical analysis, primarily in the fields of spectral theory and the theory of wave processes. The collection is intended for mathematicians sPf>cializing in the fields of mathematical physics, functional analysis, and the theory of differential equations. In addition, it is of some interest to theoretical physicists. The first paper deals with a mixed boundary value problem for a system of elasticity equations, and considers fields in the neighborhood of various wave fronts. The method used permits an estimate of the errors in the Ben-Menahem approximate method. Paper 2 investigates operators in separable Hilbert space given by double integrals of a type defined at the beginning of the paper, and in which integration is understood as the limit of the integral sums of Riemann-stieltjes. In paper 3, the problem of calculation of elastic constants for a laminarly inhomogeneous semi-infinite medium is conSidered, and the uniqueness of the solution of the inverse seismic problem at finite depth proved. The fourth paper gives a detailed account of the results of an earlier paper by the same author, in which he generalized to the three-dimensional case the trace formulas obtained for the one-dimensional Schroedinger operator. Asymptotic estimates of the resolvent kernel and solutions of the scattering problem are given.
Publisher: Springer Science & Business Media
ISBN: 1468475959
Category : Science
Languages : en
Pages : 118
Book Description
The articles in this collection are devoted to various problems in mathematical physics and mathematical analysis, primarily in the fields of spectral theory and the theory of wave processes. The collection is intended for mathematicians sPf>cializing in the fields of mathematical physics, functional analysis, and the theory of differential equations. In addition, it is of some interest to theoretical physicists. The first paper deals with a mixed boundary value problem for a system of elasticity equations, and considers fields in the neighborhood of various wave fronts. The method used permits an estimate of the errors in the Ben-Menahem approximate method. Paper 2 investigates operators in separable Hilbert space given by double integrals of a type defined at the beginning of the paper, and in which integration is understood as the limit of the integral sums of Riemann-stieltjes. In paper 3, the problem of calculation of elastic constants for a laminarly inhomogeneous semi-infinite medium is conSidered, and the uniqueness of the solution of the inverse seismic problem at finite depth proved. The fourth paper gives a detailed account of the results of an earlier paper by the same author, in which he generalized to the three-dimensional case the trace formulas obtained for the one-dimensional Schroedinger operator. Asymptotic estimates of the resolvent kernel and solutions of the scattering problem are given.
Spectral Theory and Wave Processes
Author: M. Sh. Birman
Publisher: Springer Science & Business Media
ISBN: 1468489267
Category : Science
Languages : en
Pages : 121
Book Description
Publisher: Springer Science & Business Media
ISBN: 1468489267
Category : Science
Languages : en
Pages : 121
Book Description
Spectral Theory and Wave Processes
Author: M. Sh. Birman
Publisher: Springer
ISBN: 9780306184048
Category : Science
Languages : en
Pages : 0
Book Description
Publisher: Springer
ISBN: 9780306184048
Category : Science
Languages : en
Pages : 0
Book Description
Spectral Theory and Wave Processes
Author: Claude Kacser
Publisher:
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Languages : en
Pages :
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SPECTRAL THEORY AND WAVE PROCESSES (Volume 4).
Author: M. Sh. Birman (ed)
Publisher:
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Languages : en
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Spectral Theory and Wave Processes
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Pages : 0
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Topics in Mathematical Physics
Author: N.Sh Birman
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Languages : en
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Spectral theory
Author: M. Š Birman
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Languages : en
Pages : 131
Book Description
Publisher:
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Languages : en
Pages : 131
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Topics in Mathematical Physics
Author: M. Birman
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Languages : en
Pages :
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Languages : en
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Topics in Mathematical Physics
Author: M.Sh Birman
Publisher:
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Languages : en
Pages :
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Publisher:
ISBN:
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Languages : en
Pages :
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