Non-Standard and Improperly Posed Problems - 1st Edition - ISBN: 9780120567454, 9780080537740

Non-Standard and Improperly Posed Problems, Volume 194

1st Edition

Series Editors: William Ames
Authors: William Ames Brian Straughan
Hardcover ISBN: 9780120567454
eBook ISBN: 9780080537740
Imprint: Academic Press
Published Date: 7th July 1997
Page Count: 303
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Table of Contents

Introduction. Continuous Dependence on the Geometry. Continuous Dependence on Modeling Backward in Time. Continuous Dependence on Modeling Forward in Time. Non-Standard and Non-Characteristic Problems. Some Further Improperly Posed Problems. Bibliography. Index.


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

@introbul:Key Features @bul:* 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


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© Academic Press 1997
Academic Press
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About the Series Editors

William Ames Series Editor

Affiliations and Expertise

Georgia Institute of Technology

About the Authors

William Ames Author

Affiliations and Expertise

Georgia Institute of Technology

Brian Straughan Author

Affiliations and Expertise

University of Glasgow