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＜図書＞
Fuchsian reduction : applications to geometry, cosmology, and mathematical physics
| 責任表示 | Satyanad Kichenassamy |
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| シリーズ | Progress in nonlinear differential equations and their applications / editor, Haim Brezis ; vol. 71 |
| データ種別 | 図書 |
| 出版情報 | Boston : Birkhäuser , c2007 |
| 本文言語 | 英語 |
| 大きさ | xv, 289 p. ; 24 cm |
| 概要 | Fuchsian reduction is a method for representing solutions of nonlinear PDEs near singularities. The technique has multiple applications including soliton theory, Einstein's equations and cosmology, st...llar models, laser collapse, conformal geometry and combustion. Developed in the 1990s for semilinear wave equations, Fuchsian reduction research has grown in response to those problems in pure and applied mathematics where numerical computations fail. This work unfolds systematically in four parts, interweaving theory and applications. The case studies examined in Part III illustrate the impact of reduction techniques, and may serve as prototypes for future new applications. In the same spirit, most chapters include a problem section. Background results and solutions to selected problems close the volume. This book can be used as a text in graduate courses in pure or applied analysis, or as a resource for researchers working with singularities in geometry and mathematical physics. Book jacket.続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6978530 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図 自動書庫 | 104/KIC | 2007 |
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023212007004171 |
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書誌詳細
| 一般注記 | Includes bibliographical reference and index |
|---|---|
| 著者標目 | Kichenassamy, Satyanad, 1963- |
| 書誌ID | 1001335325 |
| ISBN | 9780817643522 |
| NCID | BA83455125 |
| 巻冊次 | ISBN:9780817643522 |
| 登録日 | 2009.09.18 |
| 更新日 | 2017.02.18 |