This collection of original articles and surveys treats the
linear and nonlinear aspects of the theory of partial differential
equations. Phase space analysis methods, including microlocal
analysis, have yielded striking results in 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 theories.
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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