Overview
- A thorough exposition of pseudodifferential calculus defined by metrics on the phase space
- Contains a proof of the Nirenberg-Treves conjecture
- Construction of counterexamples to “optimal” solvability under condition (psi)
- Includes supplementary material: sn.pub/extras
Part of the book series: Pseudo-Differential Operators (PDO, volume 3)
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Table of contents (4 chapters)
Keywords
About this book
Reviews
From the reviews:
“The present book is devoted to the theory of pseudodifferential operators and some applications. The presentation starts from basic results and continues up to the most advanced and recent developments of the local solvability theory … . the present monograph will become a reference book for researchers in microlocal analysis. … Ph. D. students will greatly appreciate this up-to-date overview of such a deep subject … .” (Fabio Nicola, Mathematical Reviews, Issue 2011 b)
“This very interesting book of a well-known specialist in partial differential equations is devoted to the study of pseudo-differential operators and describes the most recent developments of the theory with its applications to local solvability and semi-classical estimates for non-selfadjoint operators, most of them belonging to the author. … To sum up, the present book is really excellent. The first two parts are accessible to graduate students in analysis. The third chapter is highly recommended to researchers, providing an up-to-date overview of the subject.” (Viorel Iftimie, Zentralblatt MATH, Vol. 1186, 2010)
Authors and Affiliations
Bibliographic Information
Book Title: Metrics on the Phase Space and Non-Selfadjoint Pseudo-Differential Operators
Authors: Nicolas Lerner
Series Title: Pseudo-Differential Operators
DOI: https://doi.org/10.1007/978-3-7643-8510-1
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2010
Softcover ISBN: 978-3-7643-8509-5Published: 14 January 2010
eBook ISBN: 978-3-7643-8510-1Published: 30 January 2011
Series ISSN: 2297-0355
Series E-ISSN: 2297-0363
Edition Number: 1
Number of Pages: XII, 397
Topics: Analysis