<電子ブック>
New Trends in the Theory of Hyperbolic Equations / edited by Michael Reissig, Bert-Wolfgang Schulze
(Advances in Partial Differential Equations. ISSN:25043595 ; 159)
版 | 1st ed. 2005. |
---|---|
出版者 | (Basel : Birkhäuser Basel : Imprint: Birkhäuser) |
出版年 | 2005 |
本文言語 | 英語 |
大きさ | XIII, 514 p : online resource |
著者標目 | Reissig, Michael editor Schulze, Bert-Wolfgang editor SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Differential equations LCSH:Operator theory LCSH:Functional analysis FREE:Analysis FREE:Differential Equations FREE:Operator Theory FREE:Functional Analysis |
一般注記 | Wave Maps and Ill-posedness of their Cauchy Problem -- On the Global Behavior of Classical Solutions to Coupled Systems of Semilinear Wave Equations -- Decay and Global Existence for Nonlinear Wave Equations with Localized Dissipations in General Exterior Domains -- Global Existence in the Cauchy Problem for Nonlinear Wave Equations with Variable Speed of Propagation -- On the Nonlinear Cauchy Problem -- Sharp Energy Estimates for a Class of Weakly Hyperbolic Operators The present volume is dedicated to modern topics of the theory of hyperbolic equations such as evolution equations, multiple characteristics, propagation phenomena, global existence, influence of nonlinearities. It is addressed to beginners as well as specialists in these fields. The contributions are to a large extent self-contained. Key topics include: - low regularity solutions to the local Cauchy problem associated with wave maps; local well-posedness, non-uniqueness and ill-posedness results are proved - coupled systems of wave equations with different speeds of propagation; here pointwise decay estimates for solutions in spaces with hyperbolic weights come in - damped wave equations in exterior domains; the energy method is combined with the geometry of the exterior domain; for the critical part of the boundary a restricted localized effective dissipation is employed - the phenomenon of parametric resonance for wave map type equations; the influence of time-dependent oscillations on the existence of global small data solutions is studied - a unified approach to attack degenerate hyperbolic problems as weakly hyperbolic ones and Cauchy problems for strictly hyperbolic equations with non-Lipschitz coefficients - weakly hyperbolic Cauchy problems with finite time degeneracy; the precise loss of regularity depending on the spatial variables is determined; the main step is to find the correct class of pseudodifferential symbols and to establish a calculus which contains a symmetrizer HTTP:URL=https://doi.org/10.1007/3-7643-7386-5 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783764373863 |
|
電子リソース |
|
EB00234637 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000134265 |
ISBN | 9783764373863 |
類似資料
この資料の利用統計
このページへのアクセス回数:1回
※2017年9月4日以降