Composite Type Equations and Inverse Problems

Download Composite Type Equations and Inverse Problems PDF Online Free

Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110943271
Total Pages : 184 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Composite Type Equations and Inverse Problems by : A. I. Kozhanov

Download or read book Composite Type Equations and Inverse Problems written by A. I. Kozhanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Coefficient Inverse Problems for Parabolic Type Equations and Their Application

Download Coefficient Inverse Problems for Parabolic Type Equations and Their Application PDF Online Free

Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110940914
Total Pages : 128 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Coefficient Inverse Problems for Parabolic Type Equations and Their Application by : P. G. Danilaev

Download or read book Coefficient Inverse Problems for Parabolic Type Equations and Their Application written by P. G. Danilaev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a rule, many practical problems are studied in a situation when the input data are incomplete. For example, this is the case for a parabolic partial differential equation describing the non-stationary physical process of heat and mass transfer if it contains the unknown thermal conductivity coefficient. Such situations arising in physical problems motivated the appearance of the present work. In this monograph the author considers numerical solutions of the quasi-inversion problems, to which the solution of the original coefficient inverse problems are reduced. Underground fluid dynamics is taken as a field of practical use of coefficient inverse problems. The significance of these problems for this application domain consists in the possibility to determine the physical fields of parameters that characterize the filtration properties of porous media (oil strata). This provides the possibility of predicting the conditions of oil-field development and the effects of the exploitation. The research carried out by the author showed that the quasi-inversion method can be applied also for solution of "interior coefficient inverse problems" by reducing them to the problem of continuation of a solution to a parabolic equation. This reduction is based on the results of the proofs of the uniqueness theorems for solutions of the corresponding coefficient inverse problems.

Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations

Download Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations PDF Online Free

Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110944987
Total Pages : 244 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations by : Alexander G. Megrabov

Download or read book Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations written by Alexander G. Megrabov and published by Walter de Gruyter. This book was released on 2012-05-24 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems are an important and rapidly developing direction in mathematics, mathematical physics, differential equations, and various applied technologies (geophysics, optic, tomography, remote sensing, radar-location, etc.). In this monograph direct and inverse problems for partial differential equations are considered. The type of equations focused are hyperbolic, elliptic, and mixed (elliptic-hyperbolic). The direct problems arise as generalizations of problems of scattering plane elastic or acoustic waves from inhomogeneous layer (or from half-space). The inverse problems are those of determination of medium parameters by giving the forms of incident and reflected waves or the vibrations of certain points of the medium. The method of research of all inverse problems is spectral-analytical, consisting in reducing the considered inverse problems to the known inverse problems for the Sturm-Liouville equation or the string equation. Besides the book considers discrete inverse problems. In these problems an arbitrary set of point sources (emissive sources, oscillators, point masses) is determined.

Linear Sobolev Type Equations and Degenerate Semigroups of Operators

Download Linear Sobolev Type Equations and Degenerate Semigroups of Operators PDF Online Free

Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110915502
Total Pages : 224 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Linear Sobolev Type Equations and Degenerate Semigroups of Operators by : Georgy A. Sviridyuk

Download or read book Linear Sobolev Type Equations and Degenerate Semigroups of Operators written by Georgy A. Sviridyuk and published by Walter de Gruyter. This book was released on 2012-06-04 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the mathematics, and providing only a minimum of explicatory comment, this volume contains six chapters covering auxiliary material, relatively p-radial operators, relatively p-sectorial operators, relatively σ-bounded operators, Cauchy problems for inhomogenous Sobolev-type equations, bounded solutions to Sobolev-type equations, and optimal control.

Inverse Problems of Mathematical Physics

Download Inverse Problems of Mathematical Physics PDF Online Free

Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110915529
Total Pages : 288 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Inverse Problems of Mathematical Physics by : Mikhail M. Lavrent'ev

Download or read book Inverse Problems of Mathematical Physics written by Mikhail M. Lavrent'ev and published by Walter de Gruyter. This book was released on 2012-05-07 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the theory of inverse problems of mathematical physics and applications of such problems. Besides it considers applications and numerical methods of solving the problems under study. Descriptions of particular numerical experiments are also included.

Carleman Estimates for Coefficient Inverse Problems and Numerical Applications

Download Carleman Estimates for Coefficient Inverse Problems and Numerical Applications PDF Online Free

Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110915545
Total Pages : 292 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Carleman Estimates for Coefficient Inverse Problems and Numerical Applications by : Michael V. Klibanov

Download or read book Carleman Estimates for Coefficient Inverse Problems and Numerical Applications written by Michael V. Klibanov and published by Walter de Gruyter. This book was released on 2012-04-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the main subject of the author's considerations is coefficient inverse problems. Arising in many areas of natural sciences and technology, such problems consist of determining the variable coefficients of a certain differential operator defined in a domain from boundary measurements of a solution or its functionals. Although the authors pay strong attention to the rigorous justification of known results, they place the primary emphasis on new concepts and developments.

Inverse Problems for Partial Differential Equations

Download Inverse Problems for Partial Differential Equations PDF Online Free

Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110944634
Total Pages : 220 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Inverse Problems for Partial Differential Equations by : Yurii Ya. Belov

Download or read book Inverse Problems for Partial Differential Equations written by Yurii Ya. Belov and published by Walter de Gruyter. This book was released on 2012-02-14 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The problems are studied with the Cauchy data and equations in which the Fourier transform with respect to the chosen variable is supposed to occur. Differential properties of the solutions for the original direct problems and their behavior under great values of time are studied on the basis of solution properties for direct problems. The identification problems with one or two unknown coefficients are also investigated. For initial boundary value conditions linear and nonlinear parabolic equations are studied.

Integral Geometry and Inverse Problems for Kinetic Equations

Download Integral Geometry and Inverse Problems for Kinetic Equations PDF Online Free

Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110940949
Total Pages : 212 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Integral Geometry and Inverse Problems for Kinetic Equations by : Anvar Kh. Amirov

Download or read book Integral Geometry and Inverse Problems for Kinetic Equations written by Anvar Kh. Amirov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph a method for proving the solvability of integral geometry problems and inverse problems for kinetic equations is presented. The application of this method has led to interesting problems of the Dirichlet type for third order differential equations, the solvability of which appears to depend on the geometry of the domain for which the problem is stated. Another considered subject is the problem of integral geometry on paraboloids, in particular the uniqueness of solutions to the Goursat problem for a differential inequality, which implies new theorems on the uniqueness of solutions to this problem for a class of quasilinear hyperbolic equations. A class of multidimensional inverse problems associated with problems of integral geometry and the inverse problem for the quantum kinetic equations are also included.

Inverse Problems for Kinetic and Other Evolution Equations

Download Inverse Problems for Kinetic and Other Evolution Equations PDF Online Free

Author :
Publisher : VSP
ISBN 13 : 9789067643450
Total Pages : 288 pages
Book Rating : 4.6/5 (434 download)

DOWNLOAD NOW!


Book Synopsis Inverse Problems for Kinetic and Other Evolution Equations by : I︠U︡riĭ Evgenʹevich Anikonov

Download or read book Inverse Problems for Kinetic and Other Evolution Equations written by I︠U︡riĭ Evgenʹevich Anikonov and published by VSP. This book was released on 2001 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph in the "Inverse and Ill-Posed Problems Series deals with methods of studying multidimensional inverse problems for kinetic and other evolution equations, in particular transfer equations. The methods used are applied to concrete inverse problems, especially multidimensional inverse problems applicable in linear and nonlinear statements.A significant part of the book contains formulas and relations for solving inverse problems, including formulas for the solution and coefficients of kinetic equations, differential-difference equations, nonlinear evolution equations, and second order equations.This monograph will be of value and interest to mathematicians, engineers and other specialists dealing with inverse and ill posed problems.

Inverse Problems for Kinetic and Other Evolution Equations

Download Inverse Problems for Kinetic and Other Evolution Equations PDF Online Free

Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110940906
Total Pages : 280 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Inverse Problems for Kinetic and Other Evolution Equations by : Yu. E. Anikonov

Download or read book Inverse Problems for Kinetic and Other Evolution Equations written by Yu. E. Anikonov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with methods of studying multidimensional inverse problems for kinetic and other evolution equations, in particular transfer equations. The methods used are applied to concrete inverse problems, especially multidimensional inverse problems applicable in linear and nonlinear statements. A significant part of the book contains formulas and relations for solving inverse problems, including formulas for the solution and coefficients of kinetic equations, differential-difference equations, nonlinear evolution equations, and second order equations.

Dynamical Inverse Problems of Distributed Systems

Download Dynamical Inverse Problems of Distributed Systems PDF Online Free

Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110944839
Total Pages : 280 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Dynamical Inverse Problems of Distributed Systems by : Vyacheslav I. Maksimov

Download or read book Dynamical Inverse Problems of Distributed Systems written by Vyacheslav I. Maksimov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with problems of dynamical reconstruction of unknown variable characteristics (distributed or boundary disturbances, coefficients of operator etc.) for various classes of systems with distributed parameters (parabolic and hyperbolic equations, evolutionary variational inequalities etc.).

Investigation Methods for Inverse Problems

Download Investigation Methods for Inverse Problems PDF Online Free

Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110943840
Total Pages : 292 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Investigation Methods for Inverse Problems by : Vladimir G. Romanov

Download or read book Investigation Methods for Inverse Problems written by Vladimir G. Romanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-10-10 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with some inverse problems of mathematical physics. It introduces new methods for studying inverse problems and gives obtained results, which are related to the conditional well posedness of the problems. The main focus lies on time-domain inverse problems for hyperbolic equations and the kinetic transport equation.

Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems

Download Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems PDF Online Free

Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110960710
Total Pages : 188 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems by : Sergey I. Kabanikhin

Download or read book Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems written by Sergey I. Kabanikhin and published by Walter de Gruyter. This book was released on 2013-04-09 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider dynamic types of inverse problems in which the additional information is given by the trace of the direct problem on a (usually time-like) surface of the domain. They discuss theoretical and numerical background of the finite-difference scheme inversion, the linearization method, the method of Gel'fand-Levitan-Krein, the boundary control method, and the projection method and prove theorems of convergence, conditional stability, and other properties of the mentioned methods.

Nonclassical Linear Volterra Equations of the First Kind

Download Nonclassical Linear Volterra Equations of the First Kind PDF Online Free

Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110944979
Total Pages : 177 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Nonclassical Linear Volterra Equations of the First Kind by : Anatoly S. Apartsyn

Download or read book Nonclassical Linear Volterra Equations of the First Kind written by Anatoly S. Apartsyn and published by Walter de Gruyter. This book was released on 2011-03-01 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Method of Spectral Mappings in the Inverse Problem Theory

Download Method of Spectral Mappings in the Inverse Problem Theory PDF Online Free

Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110940965
Total Pages : 316 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Method of Spectral Mappings in the Inverse Problem Theory by : Vacheslav A. Yurko

Download or read book Method of Spectral Mappings in the Inverse Problem Theory written by Vacheslav A. Yurko and published by Walter de Gruyter. This book was released on 2013-10-10 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems of spectral analysis consist in recovering operators from their spectral characteristics. Such problems often appear in mathematics, mechanics, physics, electronics, geophysics, meteorology and other branches of natural science. This monograph is devoted to inverse problems of spectral analysis for ordinary differential equations. Its aim ist to present the main results on inverse spectral problems using the so-called method of spectral mappings, which is one of the main tools in inverse spectral theory. The book consists of three chapters: In Chapter 1 the method of spectral mappings is presented in the simplest version for the Sturm-Liouville operator. In Chapter 2 the inverse problem of recovering higher-order differential operators of the form, on the half-line and on a finite interval, is considered. In Chapter 3 inverse spectral problems for differential operators with nonlinear dependence on the spectral parameter are studied.

Well-posed, Ill-posed, and Intermediate Problems with Applications

Download Well-posed, Ill-posed, and Intermediate Problems with Applications PDF Online Free

Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110195305
Total Pages : 245 pages
Book Rating : 4.1/5 (11 download)

DOWNLOAD NOW!


Book Synopsis Well-posed, Ill-posed, and Intermediate Problems with Applications by : Petrov Yuri P.

Download or read book Well-posed, Ill-posed, and Intermediate Problems with Applications written by Petrov Yuri P. and published by Walter de Gruyter. This book was released on 2011-12-22 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with one of the key problems in applied mathematics, namely the investigation into and providing for solution stability in solving equations with due allowance for inaccuracies in set initial data, parameters and coefficients of a mathematical model for an object under study, instrumental function, initial conditions, etc., and also with allowance for miscalculations, including roundoff errors. Until recently, all problems in mathematics, physics and engineering were divided into two classes: well-posed problems and ill-posed problems. The authors introduce a third class of problems: intermediate ones, which are problems that change their property of being well- or ill-posed on equivalent transformations of governing equations, and also problems that display the property of being either well- or ill-posed depending on the type of the functional space used. The book is divided into two parts: Part one deals with general properties of all three classes of mathematical, physical and engineering problems with approaches to solve them; Part two deals with several stable models for solving inverse ill-posed problems, illustrated with numerical examples.

Operator Theory and Ill-Posed Problems

Download Operator Theory and Ill-Posed Problems PDF Online Free

Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110960729
Total Pages : 697 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Operator Theory and Ill-Posed Problems by : Mikhail M. Lavrent'ev

Download or read book Operator Theory and Ill-Posed Problems written by Mikhail M. Lavrent'ev and published by Walter de Gruyter. This book was released on 2011-12-22 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of three major parts. The first two parts deal with general mathematical concepts and certain areas of operator theory. The third part is devoted to ill-posed problems. It can be read independently of the first two parts and presents a good example of applying the methods of calculus and functional analysis. The first part "Basic Concepts" briefly introduces the language of set theory and concepts of abstract, linear and multilinear algebra. Also introduced are the language of topology and fundamental concepts of calculus: the limit, the differential, and the integral. A special section is devoted to analysis on manifolds. The second part "Operators" describes the most important function spaces and operator classes for both linear and nonlinear operators. Different kinds of generalized functions and their transformations are considered. Elements of the theory of linear operators are presented. Spectral theory is given a special focus. The third part "Ill-Posed Problems" is devoted to problems of mathematical physics, integral and operator equations, evolution equations and problems of integral geometry. It also deals with problems of analytic continuation. Detailed coverage of the subjects and numerous examples and exercises make it possible to use the book as a textbook on some areas of calculus and functional analysis. It can also be used as a reference textbook because of the extensive scope and detailed references with comments.