
Non-Standard and Improperly Posed Problems: Volume 194
Academic Press
Published on 7. July 1997
Book
Hardback
303 pages
978-0-12-056745-4 (ISBN)
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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.
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.
More details
Series
Language
English
Place of publication
San Diego
United States
Publishing group
Elsevier Science Publishing Co Inc
Target group
Professional and scholarly
Dimensions
Height: 229 mm
Width: 152 mm
Weight
660 gr
ISBN-13
978-0-12-056745-4 (9780120567454)
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Additional editions

William F. Ames | Brian Straughan
Non-Standard and Improperly Posed Problems
E-Book
07/1997
Academic Press
€155.00
Available for download
Persons
Content
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
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