Authors:
- Addresses global pseudo-differential calculus and hypoellipticity
- Includes classic calculus as a special case
- Gives several applications to global problems in Euclidean spaces, including non-linear PDEs
Part of the book series: Pseudo-Differential Operators (PDO, volume 4)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
“The authors present a nice unified approach for deriving pseudo-differential calculus on Rd and interesting recent results for classes of pseudo-differential operators defined globally on Rd. … The book is well written; an extended summary is given at the beginning of every chapter while at the end the authors provide comments and remarks that illustrate the historical background, previous contributions and references in the field. This book looks very interesting for researchers and Ph.D. students studying, broadly speaking, PDEs and pseudo-differential operators globally in Rd.” (Todor V. Gramchev, Mathematical Reviews, Issue 2011 k)
“Describes in a clear way the basic theory as well as new trends and results in global pseudo-differential operators calculus … . well written and organized at a difficulty level that precisely meets the target audience’s needs. Mathematics students as well as researchers in mathematical analysis will find this book an excellent resource to introduction into the field of pseudo-differential operator calculus. … serve as a textbook for graduate–level courses in pseudo-differential operators. … may also be useful and interesting for experienced PDEs researchers.” (Andrzej Myśliński, Control and Cybernetics, Vol. 39 (4), 2010)
“The subject of the book are pseudo-differential operators on Euclidean spaces. … The book is structured as follows. After a well-written introduction which summarizes the main ingredients of the book, the book starts with Chapter 0, which summarizes the relevant background. The main content is then structured in six chapters, each of which starts with a summary. This contributes to making the book accessible and pleasant to read.” (Bernd Ammann, Zentralblatt MATH, Vol. 1257, 2013)
Authors and Affiliations
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Dipartimento di Matematica, Politecnico di Torino, Torino, Italy
Fabio Nicola
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Dipartimento di Matematica, Università di Torino, Torino, Italy
Luigi Rodino
Bibliographic Information
Book Title: Global Pseudo-differential Calculus on Euclidean Spaces
Authors: Fabio Nicola, Luigi Rodino
Series Title: Pseudo-Differential Operators
DOI: https://doi.org/10.1007/978-3-7643-8512-5
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2010
Softcover ISBN: 978-3-7643-8511-8Published: 31 May 2010
eBook ISBN: 978-3-7643-8512-5Published: 30 January 2011
Series ISSN: 2297-0355
Series E-ISSN: 2297-0363
Edition Number: 1
Number of Pages: X, 306
Topics: Partial Differential Equations, Global Analysis and Analysis on Manifolds, Fourier Analysis, Functional Analysis