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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.
| Autorius: | David S. Tartakoff |
| Serija: | Developments in Mathematics |
| Leidėjas: | Springer US |
| Išleidimo metai: | 2013 |
| Knygos puslapių skaičius: | 212 |
| ISBN-10: | 1461429692 |
| ISBN-13: | 9781461429692 |
| Formatas: | 235 x 155 x 12 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Nonelliptic Partial Differential Equations: Analytic Hypoellipticity and the Courage to Localize High Powers of T“
