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Nonelliptic Partial Differential Equations: Analytic Hypoellipticity and the Courage to Localize High Powers of T [Repost]
![Nonelliptic Partial Differential Equations: Analytic Hypoellipticity and the Courage to Localize High Powers of T [Repost]](https://pixhost.icu/avaxhome/37/45/003a4537.jpeg)
David S. Tartakoff - Nonelliptic Partial Differential Equations: Analytic Hypoellipticity and the Courage to Localize High Powers of T
Published: 2011-07-26 | ISBN: 1441998128, 1461429692 | PDF | 203 pages | 1.32 MB
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.