Items related to Phase Space Analysis of Partial Differential Equations:...

Phase Space Analysis of Partial Differential Equations: 69 (Progress in Nonlinear Differential Equations and Their Applications, 69) - Hardcover

Book 28 of 53: Progress in Nonlinear Differential Equations and Their Applications
 
9780817645113: Phase Space Analysis of Partial Differential Equations: 69 (Progress in Nonlinear Differential Equations and Their Applications, 69)

Synopsis

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

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.