| 書目名稱 | New Trends in the Theory of Hyperbolic Equations |
| 編輯 | Michael Reissig,Bert-Wolfgang Schulze |
| 視頻video | http://file.papertrans.cn/667/666034/666034.mp4 |
| 概述 | Self-contained presentation of the topics.Starting with a good motivation new ideas are presented in detail, open problems are added.Includes supplementary material: |
| 叢書名稱 | Operator Theory: Advances and Applications |
| 圖書封面 |  |
| 描述 | 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 equatio |
| 出版日期 | Book 2005 |
| 關(guān)鍵詞 | Cauchy problem; Hyperbolic equations; Partial differential equations; Wave equations; differential equat |
| 版次 | 1 |
| doi | https://doi.org/10.1007/3-7643-7386-5 |
| isbn_ebook | 978-3-7643-7386-3Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
| issn_series | 0255-0156 |
| copyright | Birkh?user Basel 2005 |
|Archiver|手機版|小黑屋|
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