Nonelliptic Partial Differential Equations
| Autor: | David S. Tartakoff |
|---|---|
| EAN: | 9781441998132 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 26.07.2011 |
| Untertitel: | Analytic Hypoellipticity and the Courage to Localize High Powers of T |
| Kategorie: | |
| Schlagworte: | analytic hypoelllipticity complex analysis localization partial differential equations |
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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.
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