04413nam a22005535i 4500 978-0-8176-4861-9 DE-He213 20260521092031.0 cr nn 008mamaa 100301s2009 xxu| s |||| 0|eng d 9780817648619 99780817648619 10.1007/978-0-8176-4861-9 doi 515.353 23 Bove, Antonio. editor. Advances in Phase Space Analysis of Partial Differential Equations [electronic resource] : In Honor of Ferruccio Colombini's 60th Birthday / edited by Antonio Bove, Daniele Del Santo, M.K. Venkatesha Murthy. Boston : Birkhäuser Boston, 2009. XIV, 292p. 1 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Progress in Nonlinear Differential Equations and Their Applications ; 78 Tangent Halfspaces to Sets of Finite Perimeter in Carnot Groups -- The Heat Kernel and Frequency Localized Functions on the Heisenberg Group -- A Generalization of the Rudin-Carleson Theorem -- Evolution Equations and Generalized Fourier Integral Operators -- The Solvability and Subellipticity of Systems of Pseudodifferential Operators -- Uniform Exponential Decay for Viscous Damped Systems* -- The Hyperbolic Symmetrizer: Theory and Applications -- Time Global Solutions to the Cauchy Problem for Multidimensional Kirchhoff Equations -- The Order of Accuracy of Quadrature Formulae for Periodic Functions -- A Note on the Oseen Kernels -- Instability Behavior and Loss of Regularity -- Decay Estimates for Variable Coefficient Wave Equations in Exterior Domains -- On Gevrey Well-Posedness of the Cauchy Problem for Some Noneffectively Hyperbolic Operators -- Singularities of the Scattering Kernel Related to Trapping Rays -- Analytic Hypoellipticity for a Sum of Squares of Vector Fields in ℝ Whose Poisson Stratification Consists of a Single Symplectic Stratum of Codimension Four -- Multidimensional Soliton Integrodifferential Systems -- Selected lectures in Microlocal Analysis. 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 MATHEMATICS. GLOBAL ANALYSIS (MATHEMATICS). DIFFERENTIABLE DYNAMICAL SYSTEMS. DIFFERENTIAL EQUATIONS. DIFFERENTIAL EQUATIONS, PARTIAL. MATHEMATICAL PHYSICS. MATHEMATICS. PARTIAL DIFFERENTIAL EQUATIONS. DYNAMICAL SYSTEMS AND ERGODIC THEORY. MATHEMATICAL METHODS IN PHYSICS. APPLICATIONS OF MATHEMATICS. ORDINARY DIFFERENTIAL EQUATIONS. ANALYSIS. Del Santo, Daniele. editor. Murthy, M.K. Venkatesha. editor. SpringerLink (Online service) Springer eBooks Printed edition: 9780817648602 Progress in Nonlinear Differential Equations and Their Applications ; 78 http://dx.doi.org/10.1007/978-0-8176-4861-9 Ver el texto completo en las instalaciones del CICY ZDB-2-SMA ddc ER 35736 35736 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 515.353 2025-10-06 08:44:39 2025-10-06 ER