TY - BOOK ID - 8358631 TI - Advances in Phase Space Analysis of Partial Differential Equations : In Honor of Ferruccio Colombini's 60th Birthday AU - Bove, Antonio. AU - Del Santo, Daniele. AU - Murthy, M.K. Venkatesha. PY - 2009 SN - 0817648607 9786612363085 1282363085 0817648615 9780817648602 PB - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, DB - UniCat KW - Differential equations, Partial. KW - Microlocal analysis. KW - Differential equations, Partial KW - Microlocal analysis KW - Mathematics KW - Calculus KW - Physical Sciences & Mathematics KW - Partial differential equations KW - Mathematics. KW - Mathematical analysis. KW - Analysis (Mathematics). KW - Dynamics. KW - Ergodic theory. KW - Partial differential equations. KW - Functions of real variables. KW - Applied mathematics. KW - Engineering mathematics. KW - Physics. KW - Analysis. KW - Real Functions. KW - Dynamical Systems and Ergodic Theory. KW - Partial Differential Equations. KW - Mathematical Methods in Physics. KW - Applications of Mathematics. KW - Functional analysis KW - Global analysis (Mathematics). KW - Differentiable dynamical systems. KW - Differential equations, partial. KW - Mathematical physics. KW - Physical mathematics KW - Physics KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Differential equations KW - Global analysis (Mathematics) KW - Topological dynamics KW - Math KW - Science KW - Analysis, Global (Mathematics) KW - Differential topology KW - Functions of complex variables KW - Geometry, Algebraic KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics 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 - Real variables KW - 517.1 Mathematical analysis UR - https://www.unicat.be/uniCat?func=search&query=sysid:8358631 AB - This collection of original articles and surveys addresses the recent advances in linear and nonlinear aspects of the theory of partial differential equations. Key topics include: * Operators as "sums of squares" of real and complex vector fields: both analytic hypoellipticity and regularity for very low regularity coefficients; * Nonlinear evolution equations: Navier–Stokes system, Strichartz estimates for the wave equation, instability and the Zakharov equation and eikonals; * Local solvability: its connection with subellipticity, local solvability for systems of vector fields in Gevrey classes; * Hyperbolic equations: the Cauchy problem and multiple characteristics, both positive and negative results. Graduate students at various levels as well as researchers in PDEs and related fields will find this an excellent resource. List of contributors: L. Ambrosio N. Lerner H. Bahouri X. Lu S. Berhanu J. Metcalfe J.-M. Bony T. Nishitani N. Dencker V. Petkov S. Ervedoza J. Rauch I. Gallagher M. Reissig J. Hounie L. Stoyanov E. Jannelli D. S. Tartakoff K. Kajitani D. Tataru A. Kurganov F. Treves G. Zampieri E. Zuazua. ER -