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Improperly Posed Problems In Partial Differential Equations
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Book Synopsis Improperly Posed Problems in Partial Differential Equations by : L. E. Payne
Download or read book Improperly Posed Problems in Partial Differential Equations written by L. E. Payne and published by SIAM. This book was released on 1975-06-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discussion of improperly posed Cauchy problems in partial differential equations
Book Synopsis Improperly Posed Problems in Partial Differential Equations by : Lawrence Edward Payne
Download or read book Improperly Posed Problems in Partial Differential Equations written by Lawrence Edward Payne and published by . This book was released on 1975 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-Standard and Improperly Posed Problems by : William F. Ames
Download or read book Non-Standard and Improperly Posed Problems written by William F. Ames and published by Elsevier. This book was released on 1997-07-07 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Improperly Posed Boundary Value Problems by : Alfred Carasso
Download or read book Improperly Posed Boundary Value Problems written by Alfred Carasso and published by Pitman Publishing. This book was released on 1975 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis IMPROPERLY POSED PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS- LECTURES DELIVERED AT A SUMMER REGIONAL CONFERENCE- REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS- CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES. by :
Download or read book IMPROPERLY POSED PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS- LECTURES DELIVERED AT A SUMMER REGIONAL CONFERENCE- REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS- CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES. written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Improperly Posed Problems in Partial Differential Equations by : L. E. Payne
Download or read book Improperly Posed Problems in Partial Differential Equations written by L. E. Payne and published by SIAM. This book was released on 1975-01-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :Michail M. Lavrentiev Publisher :Springer Science & Business Media ISBN 13 :3642882102 Total Pages :115 pages Book Rating :4.6/5 (428 download)
Book Synopsis Some Improperly Posed Problems of Mathematical Physics by : Michail M. Lavrentiev
Download or read book Some Improperly Posed Problems of Mathematical Physics written by Michail M. Lavrentiev and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 . . . . . . .
Book Synopsis Inverse and Improperly Posed Problems in Differential Equations by : G. Anger
Download or read book Inverse and Improperly Posed Problems in Differential Equations written by G. Anger and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-01-19 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis IMPROPERLY POSED BOUNDARY VALUE PROBLEMS- SELECTED PAPERS FROM A REGIONAL CONFERENCE ON IMPROPERLY POSED PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS- NATIONAL SCIENCE FOUNDATION. by :
Download or read book IMPROPERLY POSED BOUNDARY VALUE PROBLEMS- SELECTED PAPERS FROM A REGIONAL CONFERENCE ON IMPROPERLY POSED PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS- NATIONAL SCIENCE FOUNDATION. written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inverse Problems in Partial Differential Equations by : David L. Colton
Download or read book Inverse Problems in Partial Differential Equations written by David L. Colton and published by SIAM. This book was released on 1990-01-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Methods for Solving Incorrectly Posed Problems by : V.A. Morozov
Download or read book Methods for Solving Incorrectly Posed Problems written by V.A. Morozov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some problems of mathematical physics and analysis can be formulated as the problem of solving the equation f € F, (1) Au = f, where A: DA C U + F is an operator with a non-empty domain of definition D , in a metric space U, with range in a metric space F. The metrics A on U and F will be denoted by P and P ' respectively. Relative u F to the twin spaces U and F, J. Hadamard P-06] gave the following defini tion of correctness: the problem (1) is said to be well-posed (correct, properly posed) if the following conditions are satisfied: (1) The range of the value Q of the operator A coincides with A F ("sol vabi li ty" condition); (2) The equality AU = AU for any u ,u € DA implies the I 2 l 2 equality u = u ("uniqueness" condition); l 2 (3) The inverse operator A-I is continuous on F ("stability" condition). Any reasonable mathematical formulation of a physical problem requires that conditions (1)-(3) be satisfied. That is why Hadamard postulated that any "ill-posed" (improperly posed) problem, that is to say, one which does not satisfy conditions (1)-(3), is non-physical. Hadamard also gave the now classical example of an ill-posed problem, namely, the Cauchy problem for the Laplace equation.
Author :Martin-Luther-Universität Halle-Wittenberg. Department of Mathematics Publisher : ISBN 13 : Total Pages : pages Book Rating :4.:/5 (81 download)
Book Synopsis Inverse and Improperly Posed Problems in Differential Equations by : Martin-Luther-Universität Halle-Wittenberg. Department of Mathematics
Download or read book Inverse and Improperly Posed Problems in Differential Equations written by Martin-Luther-Universität Halle-Wittenberg. Department of Mathematics and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Differential Equations by : David Colton
Download or read book Partial Differential Equations written by David Colton and published by Courier Corporation. This book was released on 2004-11-30 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Classical topics presented in a modern context include coverage of integral equations and basic scattering theory. Includes examples of inverse problems arising from improperly posed applications as well as exercises, many with answers. 1988 edition.
Book Synopsis Continuous Dependence on Modeling in the Cauchy Problem for Second-order Nonlinear Partial Differential Equations by : Allan David Bennett
Download or read book Continuous Dependence on Modeling in the Cauchy Problem for Second-order Nonlinear Partial Differential Equations written by Allan David Bennett and published by . This book was released on 1986 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Differential Equations by : David L. Colton
Download or read book Partial Differential Equations written by David L. Colton and published by . This book was released on 1988 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Classical topics presented in a modern context include coverage of integral equations and basic scattering theory. Includes examples of inverse problems arising from improperly posed applications as well as exercises, many with answers.
Book Synopsis INVERSE AND IMPROPERLY POSED PROBLEMS IN DIFFERENTIAL EQUATIONS by : G. Anger
Download or read book INVERSE AND IMPROPERLY POSED PROBLEMS IN DIFFERENTIAL EQUATIONS written by G. Anger and published by . This book was released on 1979 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Improperly Posed Problems of Mathematical Physics by : Robert J. Sacker
Download or read book Some Improperly Posed Problems of Mathematical Physics written by Robert J. Sacker and published by . This book was released on 1967 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
