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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 selfcontained 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.
Differential equations, Partial  Phase space (Statistical physics)  Space, Phase (Statistical physics)  Mathematics.  Dynamics.  Ergodic theory.  Partial differential equations.  Applied mathematics.  Engineering mathematics.  Physics.  Quantum optics.  Partial Differential Equations.  Mathematical Methods in Physics.  Applications of Mathematics.  Quantum Optics.  Dynamical Systems and Ergodic Theory.  Generalized spaces  Differential equations, partial.  Mathematical physics.  Differentiable dynamical systems.  Math  Science  Differential dynamical systems  Dynamical systems, Differentiable  Dynamics, Differentiable  Differential equations  Global analysis (Mathematics)  Topological dynamics  Physical mathematics  Physics  Partial differential equations  Mathematics  Ergodic transformations  Continuous groups  Mathematical physics  Measure theory  Transformations (Mathematics)  Dynamical systems  Kinetics  Mechanics, Analytic  Force and energy  Mechanics  Statics  Optics  Photons  Quantum theory  Engineering  Engineering analysis  Mathematical analysis  Natural philosophy  Philosophy, Natural  Physical sciences  Dynamics
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