Overview
- The exposition is generous and relaxed, allowing the reader to come to terms to the technique at their own pace. The main difficulty, localization, is approached directly from the beginning with simple examples
- Numerous applications are included
- There is no similar book
- There are other techniques for proving analytic hypoellipticity, but each has its own difficulties. While this is elementary but not simple, once the few basic formulas are established the rest is combinatorial in nature, and not conceptually difficult
- Includes supplementary material: sn.pub/extras
Part of the book series: Developments in Mathematics (DEVM, volume 22)
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Table of contents (15 chapters)
Keywords
About this book
Reviews
From the reviews:
“The present book deals with the analytic and Gevrey local hypoellipticity of certain nonelliptic partial differential operators. … this nice book is mostly addressed to Ph.D. students and researchers in harmonic analysis and partial differential equations, the reader being supposed to be familiar with the basic facts of pseudodifferential calculus and several complex variables. It represents the first presentation, in book form, of the challenging and still open problem of analytic and Gevrey hypoellipticity of sum-of-squares operators.” (Fabio Nicola, Mathematical Reviews, Issue 2012 h)
Authors and Affiliations
Bibliographic Information
Book Title: Nonelliptic Partial Differential Equations
Book Subtitle: Analytic Hypoellipticity and the Courage to Localize High Powers of T
Authors: David S. Tartakoff
Series Title: Developments in Mathematics
DOI: https://doi.org/10.1007/978-1-4419-9813-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-1-4419-9812-5Published: 26 July 2011
Softcover ISBN: 978-1-4614-2969-2Published: 15 August 2013
eBook ISBN: 978-1-4419-9813-2Published: 26 July 2011
Series ISSN: 1389-2177
Series E-ISSN: 2197-795X
Edition Number: 1
Number of Pages: VIII, 203
Topics: Partial Differential Equations, Analysis