Book Titles Graduate Series in Analysis Hyperbolic Problems and Related Topics

Softcover		Hyperbolic Problems and Related Topics (Graduate Series in Analysis)
		ISBN: 1-57146-150-7 Year Published: 2003 Pages: 444 pages Binding: Softcover Price: $65.00

Description: On September 10 to 14, 2002, a Scientific Conference on "Hyperbolic Problems and Related Topics" was held at the" Palazzone" in Cortona under the auspices of Instituto Nazionale di AIta Matematica "Francesco Severi" of Roma. Three courses were given: by Serge Alinhac on blowup at infinity for quasi-linear Wave equations, by Jean-Michel Bony on microlocal analysis applied to evolution equations, and by Luc Robbiano and Claude Zuily on analytic scattering wave front set and applications to Schrodinger equation. Lectures in a variety of topics were also given. They include: the Cauchy problem for strictly or weakly hyperbolic operators and their applications; semilinear, quasilinear or fully nonlinear equations; the Navier-Stokes and Schrodinger equations. Other topics discussed were the Sine-Gordon Hierarchy, oscillatory integrals and unique continuation problems, local solvability for differential or pseudodifferential operators, lower bounds of pseudodifferential systems. The most frequently occurring theme was perhaps the use of microlocal analysis, which is now a cornerstone in the study of linear and also nonlinear equations. Contents: The Global Existence of Smooth Solutions to Quasilinear Wave Equations, AVery Short Course - Serge Alinhac Evolution Equations and Microlocal Analysis - Jean-Michel Bony Necessary Conditions for the Well Posedness of the Cauchy Problem for Hyperbolic Systems - Antonio Bove and Tatsuo Nishitani An Example of Singular Dynamics for the Nonlinear Schrodinger Equation on Bounded Domains - N. Burq, P. Gerard, and N. Tzvetkov The Cauchy Problem for Some Nonstrictly Hyperbolic Equations with Nonregular Coefficients and its Applications - Ferruccio Colombini and Kunihiko Kajitani The Cauchy Problem for Semilinear Second Order Equations with Finite Degeneracy - Ferruccio Colombini, Tatsuo Nishitani, and Giovanni Taglialatela Solvability and Nonsolvability of Second-Order Evolution Equations - Ferruccio Colombini, Ludovico Pernazza, and Francois Treves Navier-Stokes Equations with Variable Density - Raphael Danchin Recent III - Posedness Results for the Wave Map System in Critical Spaces - Piero D'Ancona and Vladimir Georgiev Some Results on the Cauchy Problem for Hyperbolic Operators with Non-regular Coefficients - Daniele Del Santo The Question of Solvability - Nils Dencker Singularities of Solutions of Schrodinger Equations for Perturbed Harmonic Oscillators - Shin-ichi Doi Dispersive Estimates for Principally Normal Operators and Applications to Unique Continuation - Herbert Koch and Daniel Tataru On the Small Data Global Existence and Scattering for Systems of Semilinear Wave Equations - Hideo Kubo Well Posedness of 2 x 2 Systems with C Infinity-Coefficients - Lorenzo Mencherini and Sergio Spagnolo Large Viscous Boundary Layers for Noncharacteristic Nonlinear Hyperbolic Problems - Guy Metivier and Kevin Zumbrun Scalar Local Covariant Fields on a Family of Globally Hyperbolic Manifolds - M.K. Venkatesha Murthy On Lower Bounds of Pseudodifferential Systems - Alberto Parmeggiani A Refined Diagonalization Procedure to Handle Fast Oscillations in Degenerate Hyperbolic Problems - Michael Reissig Analytic Theory for the Quadratic Scattering, Wave Front Set and Application to the Schrodinger Equation - Luc Robbiano and Claude Zuily On Some Stability Theorem of the Steady Flow of Compressible Viscous Fluid with Respect to the Initial Disturbance - Yoshihiro Shibata Initial Boundary Value Problem for the Equations of Ideal Magnetohydrodynamics in a Half Space - Masahiro Takayama Differential Algebra and Completely Integrable Systems - Francois Treves Diagonalizable Complex Systems, Reduced Dimension and Hermitian Systems I - Jean Vaillant The Cauchy Problem for Hyperbolic Operators Dominated by Time Functions - Seiichiro Wakabayashi Editors: Ferruccio Colombini and Tatsuo Nishitani To Order: Book Orders Book Sales - Great discounts on other popular titles!