ENGLISH

Advances in Phase Space Analysis of Partial Differential Equations: In Honor of Ferruccio Colombini's 60th Birthday

By Antonio Bove , Luigi Ambrosio (auth.) , Daniele Del Santo , M.K. Venkatesha Murthy (eds.)

Book information

Publisher
Birkhäuser Basel
Year
2009
ISBN
9780817648602, 0817648607
DOI
10.1007/978-0-8176-4861-9
Language
english
Format
PDF
Filesize
2 MB (2299989 bytes)
Series
Progress in Nonlinear Differential Equations and Their Applications 78
Edition
1
Pages
292\305
Library
Kolxo3
Time added
2010-07-29 05:14:56
Partial Differential Equations;Dynamical Systems a

Description

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

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