Overview
- Provides both surveys and recent advances in phase space analysis for PDEs
- Distinguished mathematicians address current work of importance
- Encompasses applications to a wide range of areas in mathematics and physics
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 84)
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Table of contents (17 chapters)
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Front Matter
Keywords
About this book
This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysis, have continued to yield striking results over the past years and are now one of the main tools of investigation of PDEs. Their role in many applications to physics, including quantum and spectral theory, is equally important.
Key topics addressed in this volume include:
*general theory of pseudodifferential operators
*Hardy-type inequalities
*linear and non-linear hyperbolic equations and systems
*Schrödinger equations
*water-wave equations
*Euler-Poisson systems
*Navier-Stokes equations
*heat and parabolic equations
Various levels of graduate students, along with researchers in PDEs and related fields, will find this book to be an excellent resource.
Contributors
T. Alazard P.I. Naumkin
J.-M. Bony F. Nicola
N. Burq T. Nishitani
C. Cazacu T. Okaji
J.-Y. Chemin M. Paicu
E. Cordero A. Parmeggiani
R. Danchin V. Petkov
I. Gallagher M. Reissig
T. Gramchev L. Robbiano
N. Hayashi L. Rodino
J.Huang M. Ruzhanky
D. Lannes J.-C. Saut
F. Linares N. Visciglia
P.B. Mucha P. Zhang
C. Mullaert E. Zuazua
T. Narazaki C. Zuily
Editors and Affiliations
Bibliographic Information
Book Title: Studies in Phase Space Analysis with Applications to PDEs
Editors: Massimo Cicognani, Ferruccio Colombini, Daniele Del Santo
Series Title: Progress in Nonlinear Differential Equations and Their Applications
DOI: https://doi.org/10.1007/978-1-4614-6348-1
Publisher: Birkhäuser New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-6347-4Published: 07 March 2013
Softcover ISBN: 978-1-4899-9940-5Published: 03 April 2015
eBook ISBN: 978-1-4614-6348-1Published: 12 March 2013
Series ISSN: 1421-1750
Series E-ISSN: 2374-0280
Edition Number: 1
Number of Pages: XVII, 379
Topics: Partial Differential Equations, Dynamical Systems and Ergodic Theory, Mathematical Physics, Ordinary Differential Equations, Analysis, Applications of Mathematics
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