# Phase Space Analysis of Partial Differential Equations

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Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 69)

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Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 69)

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.

Microlocal analysis Potential hyperbolic equation partial differential equation scattering theory wave equation

- DOI https://doi.org/10.1007/978-0-8176-4521-2
- Copyright Information Birkhäuser Boston 2007
- Publisher Name Birkhäuser Boston
- eBook Packages Mathematics and Statistics
- Print ISBN 978-0-8176-4511-3
- Online ISBN 978-0-8176-4521-2
- Series Print ISSN 1421-1750
- Series Online ISSN 2374-0280
- Buy this book on publisher's site