Some Improperly Posed Problems Of Mathematical Physics

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Some Improperly Posed Problems Of Mathematical Physics

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Author : Michail M. Lavrentiev
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13

Some Improperly Posed Problems Of Mathematical Physics written by Michail M. Lavrentiev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-13 with Science categories.

This monograph deals with the problems of mathematical physics which are improperly posed in the sense of Hadamard. The first part covers various approaches to the formulation of improperly posed problems. These approaches are illustrated by the example of the classical improperly posed Cauchy problem for the Laplace equation. The second part deals with a number of problems of analytic continuations of analytic and harmonic functions. The third part is concerned with the investigation of the so-called inverse problems for differential equations in which it is required to determine a dif ferential equation from a certain family of its solutions. Novosibirsk June, 1967 M. M. LAVRENTIEV Table of Contents Chapter I Formu1ation of some Improperly Posed Problems of Mathematic:al Physics § 1 Improperly Posed Problems in Metric Spaces. . . . . . . . . § 2 A Probability Approach to Improperly Posed Problems. . . 8 Chapter II Analytic Continuation § 1 Analytic Continuation of a Function of One Complex Variable from a Part of the Boundary of the Region of Regularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 § 2 The Cauchy Problem for the Laplace Equation . . . . . . . 18 § 3 Determination of an Analytic Function from its Values on a Set Inside the Domain of Regularity. . . . . . . . . . . . . 22 § 4 Analytic Continuation of a Function of Two Real Variables 32 § 5 Analytic Continuation of Harmonic Functions from a Circle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 § 6 Analytic Continuation of Harmonic Function with Cylin drical Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . 42 Chapter III Inverse Problems for Differential Equations § 1 The Inverse Problem for a Newtonian Potential . . . . . . .

Some Improperly Posed Problems Of Mathematical Physics

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Author : Robert J. Sacker
language : en
Publisher:
Release Date : 1967

Some Improperly Posed Problems Of Mathematical Physics written by Robert J. Sacker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.

Improperly Posed Problems In Partial Differential Equations

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Author : L. E. Payne
language : en
Publisher: SIAM
Release Date : 1975-01-01

Improperly Posed Problems In Partial Differential Equations written by L. E. Payne and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-01-01 with Mathematics categories.

Improperly posed Cauchy problems are the primary topics in this discussion which assumes that the geometry and coefficients of the equations are known precisely. Appropriate references are made to other classes of improperly posed problems. The contents include straight forward examples of methods eigenfunction, quasireversibility, logarithmic convexity, Lagrange identity, and weighted energy used in treating improperly posed Cauchy problems. The Cauchy problem for a class of second order operator equations is examined as is the question of determining explicit stability inequalities for solving the Cauchy problem for elliptic equations. Among other things, an example with improperly posed perturbed and unperturbed problems is discussed and concavity methods are used to investigate finite escape time for classes of operator equations.

M M Lavrentiev

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Author : Michail M. Lavrent'ev
language : en
Publisher:
Release Date : 1967

M M Lavrentiev written by Michail M. Lavrent'ev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.

Some Improperly Posed Problems Of Mathematical Physics

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Author : Paul W. Kuznets
language : en
Publisher:
Release Date : 1967

Some Improperly Posed Problems Of Mathematical Physics written by Paul W. Kuznets and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.

Inverse Problems Of Mathematical Physics

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Author : V. G. Romanov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-11-05

Inverse Problems Of Mathematical Physics written by V. G. Romanov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Mathematics categories.

No detailed description available for "Inverse Problems of Mathematical Physics".

Fast Solution Of Discretized Optimization Problems

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Author : Karl-Heinz Hoffmann
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Fast Solution Of Discretized Optimization Problems written by Karl-Heinz Hoffmann and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Differential equations - partial as well as ordinary - are one of the main tools for the modeling of real world application problems. Pursuing the ultimate aim of influencing these systems in a desired way, one is confronted with the task of optimizing discretized models. This volume contains selected papers presented at the International Work shop on "Fast Solution of Discretized Optimization Problems", which took place at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin from May 08 until May 12, 2000. The conference was attended by 59 scientists from 10 countries. The scientific program consisted of 8 invited lectures presented by H. G. Bock (IWR Heidelberg) M. Heinkenschloss (Rice University, Houston) K. Kunisch (University of Graz) U. Langer (University Linz) B. Mohammadi (University of Montpellier) J. Petersson (University of Linkoping) E. Sachs (University of Trier) F. Troltzsch (Technical University of Chemnitz) and 28 contributed talks. The aim of this workshop was to foster the exchange of ideas between the still comparatively separated disciplines of nonlinear optimiza tion on the one side and numerical methods for differential equations on the other side. This is necessary for the successful solution of various current optimization problems in practical applications (shape optimization, topology optimization, pro cess optimization . . . ). Therefore the organizing committee as well as the speakers have come from both these communities.

Some Improperly Posed Problems Of Mathematical Physics

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Author : Michail Michajlovič Lavrent'ev
language : de
Publisher:
Release Date : 1967

Some Improperly Posed Problems Of Mathematical Physics written by Michail Michajlovič Lavrent'ev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.

Linear Inverse Problems The Maximum Entropy Connection With Cd Rom

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Author : Henryk Gzyl
language : en
Publisher: World Scientific
Release Date : 2011-02-16

Linear Inverse Problems The Maximum Entropy Connection With Cd Rom written by Henryk Gzyl and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-16 with Mathematics categories.

The book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-linear variational problem.A variety of mathematical aspects of the maximum entropy method are explored as well.

Parameter Identification Of Materials And Structures

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Author : Zenon Mróz
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-28

Parameter Identification Of Materials And Structures written by Zenon Mróz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-28 with Computers categories.

The nature and the human creations are full of complex phenomena, which sometimes can be observed but rarely follow our hypotheses. The best we can do is to build a parametric model and then try to adjust the unknown parameters based on the available observations. This topic, called parameter identification, is discussed in this book for materials and structures. The present volume of lecture notes follows a very successful advanced school, which we had the honor to coordinate in Udine, October 6-10, 2003. The authors of this volume present a wide spectrum of theories, methods and applications related to inverse and parameter identification problems. We thank the invited lecturers and the authors of this book for their contributions, the participants of the course for their active participation and the interesting discussions as well as the people of CISMfor their hospitality and their well-known professional help. Zenon Mroz Georgios E. Stavroulakis CONTENTS Preface An overview of enhanced modal identification by L. Bolognini 1 The reciprocity gap functional for identifying defects and cracks by H. D. Bui, A. Constantinescu and H. Maigre 17 Some innovative industrial prospects centered on inverse analyses by G. Maier, M. Bocciarelli andR. Fedele 55 Identification of damage in beam and plate structures using parameter dependent modal changes and thermographic methods by Z. Mroz andK. Dems 95 Crack and flaw identification in statics and dynamics, using filter algorithms and soft computing by G. E, Stavroulakis, M. Engelhardt andH.