TY - BOOK ID - 19451725 TI - Phase Space Analysis of Partial Differential Equations AU - Bove, Antonio. AU - Colombini, Ferruccio. AU - Del Santo, Daniele. PY - 2007 SN - 081764511X 9786611148614 128114861X 0817645217 PB - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, DB - UniCat KW - Differential equations, Partial KW - Phase space (Statistical physics) KW - Space, Phase (Statistical physics) KW - Mathematics. KW - Dynamics. KW - Ergodic theory. KW - Partial differential equations. KW - Applied mathematics. KW - Engineering mathematics. KW - Physics. KW - Quantum optics. KW - Partial Differential Equations. KW - Mathematical Methods in Physics. KW - Applications of Mathematics. KW - Quantum Optics. KW - Dynamical Systems and Ergodic Theory. KW - Generalized spaces KW - Differential equations, partial. KW - Mathematical physics. KW - Differentiable dynamical systems. KW - Math KW - Science KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Differential equations KW - Global analysis (Mathematics) KW - Topological dynamics KW - Physical mathematics KW - Physics KW - Partial differential equations KW - Mathematics KW - Ergodic transformations KW - Continuous groups KW - Mathematical physics KW - Measure theory KW - Transformations (Mathematics) KW - Dynamical systems KW - Kinetics KW - Mechanics, Analytic KW - Force and energy KW - Mechanics KW - Statics KW - Optics KW - Photons KW - Quantum theory KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics UR - https://www.unicat.be/uniCat?func=search&query=sysid:19451725 AB - 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. ER -