Nonelliptic partial differential equations : analytic hypoellipticity and the courage to localize high powers of T /
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 c...
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| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
[2011]
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| Series: | Developments in mathematics ;
v. 22. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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 tec. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 1441998128 (print) 1441998136 (electronic bk) 9781441998125 (print) 9781441998132 (electronic bk) |
| DOI: | 10.1007/978-1-4419-9813-2 |