书目名称 | Nonelliptic Partial Differential Equations |
副标题 | Analytic Hypoellipti |
编辑 | David S. Tartakoff |
视频video | |
概述 | The exposition is generous and relaxed, allowing the reader to come to terms to the technique at their own pace. The main difficulty, localization, is approached directly from the beginning with simpl |
丛书名称 | Developments in Mathematics |
图书封面 |  |
描述 | This book provides a very readable description of a technique, developed by the author years ago but as current as ever, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally). The technique is completely elementary but relies on a construction, a kind of a non-commutative power series, to localize the analysis of high powers of derivatives in the so-called bad direction. It is hoped that this work will permit a far greater audience of researchers to come to a deep understanding of this technique and its power and flexibility. |
出版日期 | Book 2011 |
关键词 | analytic hypoelllipticity; complex analysis; localization; partial differential equations |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4419-9813-2 |
isbn_softcover | 978-1-4614-2969-2 |
isbn_ebook | 978-1-4419-9813-2Series ISSN 1389-2177 Series E-ISSN 2197-795X |
issn_series | 1389-2177 |
copyright | Springer Science+Business Media, LLC 2011 |