| 书目名称 | Introduction to Pseudodifferential and Fourier Integral Operators | | 副标题 | Pseudodifferential O | | 编辑 | François Treves | | 视频video | | | 丛书名称 | University Series in Mathematics | | 图书封面 |  | | 描述 | I have tried in this book to describe those aspects of pseudodifferential and Fourier integral operator theory whose usefulness seems proven and which, from the viewpoint of organization and "presentability," appear to have stabilized. Since, in my opinion, the main justification for studying these operators is pragmatic, much attention has been paid to explaining their handling and to giving examples of their use. Thus the theoretical chapters usually begin with a section in which the construction of special solutions of linear partial differential equations is carried out, constructions from which the subsequent theory has emerged and which continue to motivate it: parametrices of elliptic equations in Chapter I (introducing pseudodifferen tial operators of type 1, 0, which here are called standard), of hypoelliptic equations in Chapter IV (devoted to pseudodifferential operators of type p, 8), fundamental solutions of strongly hyperbolic Cauchy problems in Chap ter VI (which introduces, from a "naive" standpoint, Fourier integral operators), and of certain nonhyperbolic forward Cauchy problems in Chapter X (Fourier integral operators with complex phase). Several chapters-II, I | | 出版日期 | Book 1980 | | 关键词 | Cauchy problem; differential equation; differential operator; equation; partial differential equation; pr | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4684-8780-0 | | isbn_softcover | 978-1-4684-8782-4 | | isbn_ebook | 978-1-4684-8780-0 | | copyright | Springer Science+Business Media New York 1980 |
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发表于 2025-3-21 17:01:11
