Advances in Phase Space Analysis of Partial

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:* 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.Contributors: Ambrosio, Berhanu, J.-M. Bony, Chemin, Dencker, Gallagher, Gerard, Hounie, Jannelli, Kajitani, Lerner, Nishitani, Petkov, Rauch, Reissig, Spagnolo, Tataru, Treves, Uhlmann, and Zuazua.

Tangent Halfspaces to Sets of Finite Perimeter in Carnot Groups	p. 1
The Heat Kernel and Frequency Localized Functions on the Heisenberg Group	p. 17
A Generalization of the Rudin-Carleson Theorem	p. 37
Evolution Equations and Generalized Fourier Integral Operators	p. 59
The Solvability and Subellipticity of Systems of Pseudo differential Operators	p. 73
Uniform Exponential Decay for Viscous Damped Systems	p. 95
The Hyperbolic Symmetrizer: Theory and Applications	p. 113
Time Global Solutions to the Cauchy Problem for Multidimensional Kirchhoff Equations	p. 141
The Order of Accuracy of Quadrature Formulae for Periodic Functions	p. 155
A Note on the Oseen Kernels	p. 161
Instability Behavior and Loss of Regularity	p. 171
Decay Estimates for Variable Coefficient Wave Equations in Exterior Domains	p. 201
On Gevrey Well-Posedness of the Cauchy Problem for Some Noneffectively Hyperbolic Operators	p. 217
Singularities of the Scattering Kernel Related to Trapping Rays	p. 235
Analytic Hypoellipticity for a Sum of Squares of Vector Fields in R³ Whose Poisson Stratification Consists of a Single Symplectic Stratum of Codimension Four	p. 253
Multidimensional Soliton Integrodifferential Systems	p. 263
Selected Lectures in Microlocal Analysis	p. 291
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Advances in Phase Space Analysis of Partial Differential Equations

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