Improperly Posed Problems In Partial Differential Equations
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Improperly Posed Problems In Partial Differential Equations
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Author : L. E. Payne
language : en
Publisher: SIAM
Release Date : 1975-06-01
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 1975-06-01 with Mathematics categories.
A discussion of improperly posed Cauchy problems in partial differential equations
Improperly Posed Problems In Partial Differential Equations
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Author : Lawrence Edward Payne
language : en
Publisher:
Release Date : 1975
Improperly Posed Problems In Partial Differential Equations written by Lawrence Edward Payne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Ill Posed Problems For Integrodifferential Equations In Mechanics And Electromagnetic Theory
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Author : Frederick Bloom
language : en
Publisher: SIAM
Release Date : 1981-01-01
Ill Posed Problems For Integrodifferential Equations In Mechanics And Electromagnetic Theory written by Frederick Bloom and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Science categories.
Examines ill-posed, initial-history boundary-value problems associated with systems of partial-integrodifferential equations arising in linear and nonlinear theories of mechanical viscoelasticity, rigid nonconducting material dielectrics, and heat conductors with memory. Variants of two differential inequalities, logarithmic convexity, and concavity are employed. Ideas based on energy arguments, Riemann invariants, and topological dynamics applied to evolution equations are also introduced. These concepts are discussed in an introductory chapter and applied there to initial boundary value problems of linear and nonlinear diffusion and elastodynamics. Subsequent chapters begin with an explanation of the underlying physical theories.
Some Improperly Posed Problems Of Mathematical Physics
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Author : Michail M. Lavrentiev
language : en
Publisher: Springer
Release Date : 2012-04-19
Some Improperly Posed Problems Of Mathematical Physics written by Michail M. Lavrentiev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-19 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 . . . . . . .
Library Of Congress Subject Headings
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Author : Library of Congress
language : en
Publisher:
Release Date : 2003
Library Of Congress Subject Headings written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Subject headings, Library of Congress categories.
Library Of Congress Subject Headings
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Author : Library of Congress. Cataloging Policy and Support Office
language : en
Publisher:
Release Date : 2009
Library Of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Subject headings, Library of Congress categories.
Qualitative Estimates For Partial Differential Equations
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Author : J N Flavin
language : en
Publisher: CRC Press
Release Date : 1995-11-08
Qualitative Estimates For Partial Differential Equations written by J N Flavin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-08 with Mathematics categories.
Qualitative Estimates For Partial Differential Equations: An Introduction describes an approach to the use of partial differential equations (PDEs) arising in the modelling of physical phenomena. It treats a wide range of differential inequality techniques applicable to problems arising in engineering and the natural sciences, including fluid and solid mechanics, physics, dynamics, biology, and chemistry. The book begins with an elementary discussion of the fundamental principles of differential inequality techniques for PDEs arising in the solution of physical problems, and then shows how these are used in research. Qualitative Estimates For Partial Differential Equations: An Introduction is an ideal book for students, professors, lecturers, and researchers who need a comprehensive introduction to qualitative methods for PDEs arising in engineering and the natural sciences.
Non Standard And Improperly Posed Problems
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Author : William F. Ames
language : en
Publisher: Elsevier
Release Date : 1997-07-07
Non Standard And Improperly Posed Problems written by William F. Ames and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-07 with Mathematics categories.
Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations.This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary. The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration. - Provides the first unified survey of the advances made in the last 15 years in the field - Includes an up-to-date compendium of the mathematical literature on these topics
Library Of Congress Subject Headings
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Author : Library of Congress. Office for Subject Cataloging Policy
language : en
Publisher:
Release Date : 1991
Library Of Congress Subject Headings written by Library of Congress. Office for Subject Cataloging Policy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Subject headings, Library of Congress categories.
Inverse Problems Of Mathematical Physics
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Author : Vladimir Gavrilovich Romanov
language : en
Publisher: BRILL
Release Date : 1987
Inverse Problems Of Mathematical Physics written by Vladimir Gavrilovich Romanov and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.