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Non-Standard and Improperly Posed Problems : Volume 194 - Brian Straughan

Non-Standard and Improperly Posed Problems

Volume 194

Hardcover Published: 7th July 1997
ISBN: 9780120567454
Number Of Pages: 303

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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.
Key Features
* 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

Preface
Introductionp. 1
Continuous Dependence on the Geometryp. 34
Continuous Dependence on Modeling Backward in Timep. 103
Continuous Dependence on Modeling Forward in Timep. 183
Non-Standard and Non-Characteristic Problemsp. 217
Some Further Improperly Posed Problemsp. 238
Bibliographyp. 284
Indexp. 301
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780120567454
ISBN-10: 0120567458
Series: Mathematics in Science & Engineering
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 303
Published: 7th July 1997
Publisher: Elsevier Science Publishing Co Inc
Country of Publication: US
Dimensions (cm): 22.9 x 15.2  x 2.54
Weight (kg): 0.66