Nonelliptic Partial Differential Equations
Analytic Hypoellipticity and the Courage to Localize High Powers of T
Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
| Author: | David S. Tartakoff | ISBN: | 9781441998132 |
| Publisher: | Springer New York | Publication: | July 26, 2011 |
| Imprint: | Springer | Language: | English |
| Author: | David S. Tartakoff |
| ISBN: | 9781441998132 |
| Publisher: | Springer New York |
| Publication: | July 26, 2011 |
| Imprint: | Springer |
| Language: | English |
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.
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.
