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

By David S. Tartakoff

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 1461429692
• ISBN13: 9781461429692
• Release Date: August 2013
• Publisher: Springer
• Length: 203 Pages
• Weight: 0.67 lbs.
• Dimensions: 0.5" x 6.1" x 9.2"