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Birkhäuser - Birkhäuser Mathematics | Advances in Phase Space Analysis of Partial Differential Equations - In Honor of Ferruccio Colombini's

Advances in Phase Space Analysis of Partial Differential Equations

In Honor of Ferruccio Colombini's 60th Birthday

Bove, Antonio, Del Santo, Daniele, Murthy, M.K. Venkatesha (Eds.)

2009, XIV, 292p. 1 illus..

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  • Provides both surveys and recent advances in phase space analysis for partial differential equations
  • Distinguished mathematicians address current work of importance

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

Content Level » Research

Keywords » Analysis - analytic hypoellipticity - hyperbolic equation - hyperbolic equations - local solvability - operator - subellipticity - wave equation

Related subjects » Birkhäuser Mathematics - Birkhäuser Physics

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