ENGLISH

Phase Space Analysis of Partial Differential Equations

By Hajer Bahouri , Jean-Yves Chemin (auth.) , Antonio Bove , Ferruccio Colombini , Daniele Del Santo (eds.)

Book information

Publisher
Birkhäuser Basel
Year
2007
ISBN
978-0-8176-4511-3, 978-0-8176-4521-2
DOI
10.1007/978-0-8176-4521-2
Language
english
Format
PDF
Filesize
5 MB (5389286 bytes)
Series
Progress in Nonlinear Differential Equations and Their Applications 69
Edition
1
Pages
329\335
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Nonlinear Optics;Dynamical Systems and Ergodic ThePartial Differential Equations;Mathematical MethodQuantum Electronics

Description

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.

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