| 书目名称 | Inverse Problems for Partial Differential Equations | | 编辑 | Victor Isakov | | 视频video | | | 概述 | Covers most important recent developments in inverse problems.Presented in a readable and informative manner.Introduces both scientific and engineering researchers as well as graduate students to the | | 丛书名称 | Applied Mathematical Sciences | | 图书封面 |  | | 描述 | In 8 years after publication of the ?rst version of this book, the rapidly progre- ing ?eld of inverse problems witnessed changes and new developments. Parts of the book were used at several universities, and many colleagues and students as well as myself observed several misprints and imprecisions. Some of the research problems from the ?rst edition have been solved. This edition serves the purposes of re?ecting these changes and making appropiate corrections. I hope that these additions and corrections resulted in not too many new errors and misprints. Chapters 1 and 2 contain only 2–3 pages of new material like in sections 1.5, 2.5. Chapter 3 is considerably expanded. In particular we give more convenient de?nition of pseudo-convexity for second order equations and included bou- ary terms in Carleman estimates (Theorem 3.2.1 ) and Counterexample 3.2.6. We give a new, shorter proof of Theorem 3.3.1 and new Theorems 3.3.7, 3.3.12, and Counterexample 3.3.9. We revised section 3.4, where a new short proof of exact observability inequality in given: proof of Theorem 3.4.1 and Theorems 3.4.3, 3.4.4, 3.4.8, 3.4.9 are new. Section 3.5 is new and it exposes recent progress on Carleman es | | 出版日期 | Book 20062nd edition | | 关键词 | Convexity; differential equation; hyperbolic equation; numerical methods; partial differential equation | | 版次 | 2 | | doi | https://doi.org/10.1007/0-387-32183-7 | | isbn_ebook | 978-0-387-32183-7Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer-Verlag New York 2006 |
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发表于 2025-3-21 18:38:07
