TY - BOOK ID - 8433740 TI - Studies in phase space analysis with applications to PDEs AU - Cicognani, Massimo AU - Colombini, F. AU - Del Santo, Daniele PY - 2013 SN - 148999940X 1461463475 1461463483 PB - New York : Birkhauser, DB - UniCat KW - Differential equations, Partial. KW - Global analysis (Mathematics). KW - Mathematics. KW - Phase space (Statistical physics). KW - Phase space (Statistical physics) KW - Differential equations, Partial KW - Mathematics KW - Physical Sciences & Mathematics KW - Calculus KW - Partial differential equations KW - Space, Phase (Statistical physics) KW - Mathematical analysis. KW - Analysis (Mathematics). KW - Dynamics. KW - Ergodic theory. KW - Differential equations. KW - Partial differential equations. KW - Applied mathematics. KW - Engineering mathematics. KW - Mathematical physics. KW - Partial Differential Equations. KW - Dynamical Systems and Ergodic Theory. KW - Mathematical Physics. KW - Ordinary Differential Equations. KW - Analysis. KW - Applications of Mathematics. KW - Generalized spaces KW - Differential equations, partial. KW - Differentiable dynamical systems. KW - Differential Equations. KW - Math KW - Science KW - Analysis, Global (Mathematics) KW - Differential topology KW - Functions of complex variables KW - Geometry, Algebraic KW - 517.91 Differential equations KW - Differential equations KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Global analysis (Mathematics) KW - Topological dynamics KW - Physical mathematics KW - Physics 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 - Engineering KW - Engineering analysis KW - Mathematical analysis KW - 517.1 Mathematical analysis UR - http://www.unicat.be/uniCat?func=search&query=sysid:8433740 AB - This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysis, have continued to yield striking results over the past years and are now one of the main tools of investigation of PDEs. Their role in many applications to physics, including quantum and spectral theory, is equally important. Key topics addressed in this volume include: *general theory of pseudodifferential operators *Hardy-type inequalities *linear and non-linear hyperbolic equations and systems *Schrödinger equations *water-wave equations *Euler-Poisson systems *Navier-Stokes equations *heat and parabolic equations Various levels of graduate students, along with researchers in PDEs and related fields, will find this book to be an excellent resource. Contributors T. Alazard                                P.I. Naumkin J.-M. Bony                              F. Nicola N. Burq                                   T. Nishitani C. Cazacu                                T. Okaji J.-Y. Chemin                           M. Paicu E. Cordero                              A. Parmeggiani R. Danchin                               V. Petkov I. Gallagher                              M. Reissig T. Gramchev                            L. Robbiano N. Hayashi                               L. Rodino J. Huang                                  M. Ruzhanky   D. Lannes                                J.-C. Saut F. Linares                                N. Visciglia P.B. Mucha                             P. Zhang C. Mullaert                              E. Zuazua T. Narazaki                             C. Zuily. ER -