Editors:
- Covers phase space analysis methods, including microlocal analysis, and their applications to physics
- Treats the linear and nonnlinear aspects of the theory of PDEs
- Original articles are self-contained with full proofs; survey articles give a quick and direct introduction to selected topics evolving at a fast pace
- Excellent reference and resource for grad students and researchers in PDEs and related fields
Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 69)
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Table of contents (17 chapters)
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Front Matter
About this book
This collection of original articles and surveys treats linear and nonlinear aspects of the theory of partial differential equations. Phase space analysis methods, also known as microlocal analysis, have yielded striking results over the past years and have become one of the main tools of investigation. Equally important is their role in many applications to physics, for example, in quantum and spectral theory.
Key topics:
* The Cauchy problem for linear and nonlinear hyperbolic equations
* Scattering theory
* Inverse problems
* Hyperbolic systems
* Gevrey regularity of solutions of PDEs
* Analytic hypoellipticity
and unique features:
* Original articles are self-contained with full proofs
* Survey articles give a quick and direct introduction to selected topics evolving at a fast pace
Graduate students at various levels as well as researchers in PDEs and related fields will find this an excellent resource.
Editors and Affiliations
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Dipartimento di Matematica, Università di Bologna, Bologna, Italy
Antonio Bove
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Dipartimento di Matematica, Università di Pisa, Pisa, Italy
Ferruccio Colombini
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Dipartimento di Scienze Matematiche, Università di Trieste, Trieste, Italy
Daniele Santo
Bibliographic Information
Book Title: Phase Space Analysis of Partial Differential Equations
Editors: Antonio Bove, Ferruccio Colombini, Daniele Santo
Series Title: Progress in Nonlinear Differential Equations and Their Applications
DOI: https://doi.org/10.1007/978-0-8176-4521-2
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2007
Hardcover ISBN: 978-0-8176-4511-3Published: 19 September 2006
eBook ISBN: 978-0-8176-4521-2Published: 28 December 2007
Series ISSN: 1421-1750
Series E-ISSN: 2374-0280
Edition Number: 1
Number of Pages: XIV, 329
Topics: Partial Differential Equations, Mathematical Methods in Physics, Applications of Mathematics, Quantum Optics, Dynamical Systems and Ergodic Theory