Nonelliptic Partial Differential Equations: Analytic Hypoellipticity and the Courage to Localize High Powers of T (Developments in Mathematics, 22)

Nonelliptic Partial Differential Equations: Analytic Hypoellipticity and the Courage to Localize High Powers of T (Developments in Mathematics, 22)
by: David S. Tartakoff (Author)
Publisher:Springer
Edition:2011th
Publication Date: July 26, 2011
Language:English
Print Length:211 pages
ISBN-10:1441998128
ISBN-13:9781441998125
Book Description
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.
About the Author
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. Read more