Last edited by Vilkis
Tuesday, May 5, 2020 | History

5 edition of Inverse Boundary Spectral Problems (Chapman and Hall /Crc Monographs and Surveys in Pure and Applied Mathematics) found in the catalog.

Inverse Boundary Spectral Problems (Chapman and Hall /Crc Monographs and Surveys in Pure and Applied Mathematics)

by Alexander Kachalov

  • 223 Want to read
  • 14 Currently reading

Published by Chapman & Hall/CRC .
Written in English

    Subjects:
  • Differential & Riemannian geometry,
  • Differential Equations,
  • General,
  • Mathematics,
  • Science/Mathematics,
  • Inverse problems (Differential,
  • Applied,
  • Mathematics / Differential Equations,
  • Functional Analysis,
  • Boundary Value Problems,
  • Inverse problems (Differential equations)

  • The Physical Object
    FormatHardcover
    Number of Pages260
    ID Numbers
    Open LibraryOL8795145M
    ISBN 101584880058
    ISBN 109781584880059

    We extend the classical spectral estimation problem to the infinite-dimensional case and propose a new approach to this problem using the Boundary Control (BC) method. Several applications to inverse problems for partial differential equations are by: Abstract: This is a survey of the inverse spectral problem on (mainly compact) Riemannian manifolds, with or without boundary. The emphasis is on wave invariants: on how wave invariants have been calculated and how they have been applied to concrete inverse spectral by:

    Inverse Engineering Handbook - CRC Press Book The answer is the Inverse Engineering Handbook. Leading experts in inverse problems have joined forces to produce the definitive reference that allows readers to understand, implement, and benefit from a variety of problem-solving techniques. Inverse Boundary Spectral Problems.   This volume contains the proceedings of two conferences on Inverse Problems and Applications, held in , to celebrate the work of Gunther Uhlmann. The first conference was held at the University of California, Irvine, from June , , and the second was held at Zhejiang University, Hangzhou, China, from September ,

    An Introduction to Inverse Scattering and Inverse Spectral Problems > An Introduction to Inverse Scattering and Inverse Spectral Problems [Li, St], that only a discrete set of values of λ can permit a function u to satisfy the equation and the boundary conditions. The number of different words for the same or similar thing in a. In inverse problems, the aim is to obtain, via a mathematical model, information on quantities that are not directly observable but rather depend on other observable quantities. Inverse problems are encountered in such diverse areas of application as medical imaging, remote sensing.


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Inverse Boundary Spectral Problems (Chapman and Hall /Crc Monographs and Surveys in Pure and Applied Mathematics) by Alexander Kachalov Download PDF EPUB FB2

Inverse Boundary Spectral Problems develop a rigorous theory for solving several types of inverse problems exactly. In it, the authors consider the following: "Can the unknown coefficients of an elliptic partial differential equation be determined from the eigenvalues and the boundary values of the eigenfunctions?".

into inverse boundary spectral problems and xed frequency inverse problems. Fixed frequency inverse problems use boundary measure-ments at a nite number of frequencies. Moreover, the vast majority ofresults forthese problemsare obtainedwhenthe frequencyisequal to 0, i.e., for the static case.

These problems go back to the famous. Inverse Boundary Spectral Problems develop a rigorous theory for solving several types of inverse problems exactly. In it, the authors consider the following: "Can the unknown coefficients of an elliptic partial differential equation be determined from the eigenvalues and the boundary values of the eigenfunctions?"Format: Hardcover.

Inverse Boundary Spectral Problems. DOI link for Inverse Boundary Spectral Problems. Inverse Boundary Spectral Problems book. By Alexander Kachalov, Yaroslav Kurylev, Matti Lassas. Edition 1st Edition. First Published eBook Published 30 July Inverse problems for the wave and other types of : Alexander Kachalov, Yaroslav Kurylev, Matti Lassas.

Basic tools of Riemannian geometry for inverse problems. Elliptic operators on manifolds and gauge transformations. Initial-boundary value problem for wave equation.

Gaussian beams. Carleman estimates and unique continuation Gel'fand inverse boundary spectral problem for manifolds. Inverse Boundary Spectral Problems develop a rigorous theory for solving several types of inverse problems In it, the authors consider the following: ""Can the unknown coefficients of an elliptic partial differential equation be determined from the eigenvalues and the boundary value.

into inverse boundary spectral problems and fixed frequency inverse problems. Fixed frequency inverse problems use boundary measure-ments at a finite number of frequencies. Moreover, the vast majority of results for these problems are obtained when the frequency is equal to 0, i.e., for the static case.

These problems go back to the famous. The review covers the period – of development of the boundary control method, which is an approach to inverse problems based on their relations to control theory (Belishev ).Author: Mourad Sini.

Inverse eigenvalue problems; Inverse Sturm-Liouville problems; Numerical methods Introduction In this entry we will describe techniques which have been developed for numerical solution of inverse spectral problems for differential operators in one space dimension, for which the model is the inverse Sturm-Liouville problem.

Inverse nodal and inverse spectral problems for discontinuous boundary value problems Article in Journal of Mathematical Analysis and Applications (1)– November with 19. Uhlmann, G. Developments in inverse problems since Calderon’s fundamental paper.

Harmonic analysis and partial differential equations. Chicago lectures in Mathematics, (), – Buy Inverse Boundary Spectral Problems (Monographs and Surveys in Pure and Applied Mathematics) 1 by Alexander Kachalov, Yaroslav Kurylev, Matti Lassas (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible orders. There're two types of the problems: inverse boundary problems (the boundary values of the solutions) and inverse spectral problems (the spectral data of difference or differential operators). This book considers both and also the relationship b/w the continuous/discrete inverse problems on the manifolds/embedded networks.

Exercise (*). Inverse Spectral Problems The displacement, y(x,t), at position x and time t of a vibrating string of length L, tension T and variable density, ρ(x), that is held fixed at x = 0 and x = L obeys the wave equation ρ(x)∂2y ∂t2 = T ∂2y ∂x2 with boundary conditions y(0,t) = y(L,t) = 0 (assuming that the vibrations are small).

For solutions. This book is a new edition of a title&#;originally published in No other book has been published that treats inverse spectral and inverse scattering results by using the so called Poisson summation formula and the related study of singularities.

This book presents these&#;in a Pages: Inverse problems arise in geophysics (analysing the interior of the earth, oil field location), medical imaging (MRI, ultrasound), remote sensing, ocean acoustic tomography, nondestructive testing, and.

6 Inverse spectral and scattering problems Direct Sturm-Liouville problem on a finite interval Inverse Sturm-Liouville problems on a finite interval The Gelfand-Levitan method on a finite interval Inverse scattering problems Inverse scattering problems in the time domain Pages: Buy Inverse Problems and Spectral Theory: Proceedings of the Workshop on Spectral Theory of Differential Operators and Inverse Problems, October Institute for (Contemporary Mathematics) on FREE SHIPPING on qualified orders.

This book is a new edition of a title originally published in No other book has been published that treats inverse spectral and inverse scattering results by using the so called Poisson summation formula and the related study of singularities.

Inverse Problems in Engineering Mechanics problem can be stabilized by replacing the time derivative in the heat equation by a wavelet-based approximation or a spectral-based approximation. Characterization of the Tikhonov regularization for numerical analysis of inverse boundary value problems by using the singular value decomposition.

Inverse spectral problems are studied for the first order integro-differential operators on a finite interval. Properties of spectral characteristic are established, and the uniqueness theorem is proved for this class of inverse by: 1.INVERSE PROBLEMS IN SPECTRAL GEOMETRY and expand the range it is possible not only to take the limit but also to take a meromorphic continuation to a larger set.

More precisely the resolvent.† z2/1WL2 comp!L 2 loc; (where L2 comp denotes compactly supported L2 functions and L2 loc denotes func.Novel spectral methods for Schrödinger equations with an inverse square potential on the whole space.

Discrete & Continuous Dynamical Systems - B,24 (4): doi: /dcdsbCited by: 1.