Improperly Posed Boundary Value Problems PDF Download
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Author: Alfred Carasso
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 176
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Book Description
Author: Alfred Carasso
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 176
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Alfred Carasso
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 157
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Book Description
Author: L. E. Payne
Publisher: SIAM
ISBN: 0898710197
Category : Mathematics
Languages : en
Pages : 81
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Book Description
A discussion of improperly posed Cauchy problems in partial differential equations
Author: Alfred Carasso
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 168
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Book Description
Author: L. E. Payne
Publisher: SIAM
ISBN: 9781611970463
Category : Mathematics
Languages : en
Pages : 81
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Book Description
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: Derek B. Ingham
Publisher: WIT Press (UK)
ISBN:
Category : Education
Languages : en
Pages : 168
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Book Description
In this title the BEM is applied to several problems which arise in inverse heat conduction to establish a sound basis on which to build solution procedures.
Author: Jim Douglas (Jr.)
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 48
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Book Description
Author: William F. Ames
Publisher: Elsevier
ISBN: 008053774X
Category : Mathematics
Languages : en
Pages : 319
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Book Description
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
Author: Prof. Dr. G. Hämmerlin
Publisher: Birkhäuser
ISBN: 3034854609
Category : Science
Languages : en
Pages : 254
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Book Description
Whilst improperly posed problems appear in several branches of applied and pure mathematics, this conference concentrated mainly on the practical treatment of ill posedness. The participants came from 12 countries. The interchange of ideas reflected the spectrum of questions arising in connection with the subject of the conference, where currently progresses in research are made. This volume contains 17 papers presented at the con ference. Focal points in the programme were: Problems of regularisation, parameter identification, free boundary and inverse problems in differential equations and inte gral equations of the first kind. Problems, which appear in science, in technical fields and in medicine are dis cussed as well as general operator equations. In a jOint discussion, several open problems have been worked out which are collected at the end of the volume. The editor's thanks go to all contributors and parti cipants who made the conference a success; to the manage ment of the institute with its unique atmosphere; to the Birkhauser Verlag for the possibility to publish the vo lume in the well-known ISNM series; to Dr. P. Jochum (Mlin chen) for assistance in organization and to Mrs. Chr. Rogg (Augsburg) for her excellent typing of several manuscripts.
