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Nonelliptic Partial Differential Equations: Analytic Hypoellipticity and the Courage to Localize High Powers of T

Nonelliptic Partial Differential Equations: Analytic Hypoellipticity and the Courage to Localize High Powers of T

Paperback

Series: Developments in Mathematics, Book 22

General Mathematics

ISBN10: 1461429692
ISBN13: 9781461429692
Publisher: Springer
Published: Aug 15 2013
Pages: 203
Weight: 0.67
Height: 0.45 Width: 6.14 Depth: 9.21
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.

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General Mathematics