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Digital
Studies in Phase Space Analysis with Applications to PDEs
Authors: --- ---
ISBN: 9781461463481 Year: 2013 Publisher: New York, NY Springer, Imprint: Birkhäuser


Digital
Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics
Authors: --- ---
ISBN: 9783319520421 Year: 2017 Publisher: Cham Springer International Publishing


Multi
Advances in Phase Space Analysis of Partial Differential Equations : In Honor of Ferruccio Colombini's 60th Birthday
Authors: --- --- ---
ISBN: 9780817648619 Year: 2009 Publisher: Boston Birkhäuser Boston

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Abstract

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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