Advances in Phase Space Analysis of Partial Differential Equations: In Honor of Ferruccio Colombini's 60th Birthday
Advances in Phase Space Analysis of Partial Differential Equations: In Honor of Ferruccio Colombini's 60th Birthday (Progress in Nonlinear Differential Equations and Their Applications) Antonio Bove (Editor), Daniele Del Santo (Editor), M.K. Venkatesha Murthy (Editor)
Publisher: Birkhäuser Boston
ISBN: 0817648607
DDC: 515
Edition: Hardcover; 2009-09-29
Summary:
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.
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