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<図書>
Non-standard and improperly posed problems

責任表示 Karen A. Ames and Brian Straughan
シリーズ Mathematics in science and engineering : a series of monographs and textbooks ; v. 194
データ種別 図書
出版者 San Diego, Calif. ; Tokyo : Academic Press
出版年 c1997
本文言語 英語
大きさ ix, 303 p. ; 24 cm
概要 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 differe...tial 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 続きを見る
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所蔵情報


理系図3F 数理独自 023211997011110 AMES/5/1 1997

理系図 自動書庫 025211997002657 G/ニ/1197 1997

書誌詳細

一般注記 Includes bibliographical references (p. [284]-300) and index
著者標目 *Straughan, B. (Brian)
Ames, Karen A.
件 名 LCSH:Differential equations, Partial -- Improperly posed problems  全ての件名で検索
分 類 LCC:QA377
DC21:530.15/5353
書誌ID 1001187815
ISBN 0120567458
NCID BA31693630
巻冊次 ISBN:0120567458
登録日 2009.09.18
更新日 2017.02.18

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