Elements Of The Theory Of Inverse Problems
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Elements of the Theory of Inverse Problems
Author: A. M. Denisov
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2014-07-24
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation
Author: Mukarram A. Atakhodzhaev
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2014-07-24
Internal boundary value problems deals with the problem of determining the solution of an equation if data are given on two manifolds. One manifold is the domain boundary and the other manifold is situated inside the domain. This monograph studies three essentially ill-posed internal boundary value problems for the biharmonic equation and the Cauchy problem for the abstract biharmonic equation, both qualitatively and quantitatively. In addition, some variants of these problems and the Cauchy problem, as well as the m-dimensional case, are considered. The author introduces some new notions, such as the notion of complete solvability.
Nonclassical Linear Volterra Equations of the First Kind
Author: Anatoly S. Apartsyn
language: en
Publisher: Walter de Gruyter
Release Date: 2011-03-01
This monograph deals with linear integra Volterra equations of the first kind with variable upper and lower limits of integration. Volterra operators of this type are the basic operators for integral models of dynamic systems.