Felipe Linares,
Gustavo Ponce
Introduction to Nonlinear Dispersive Equations
Paperback Engels 2009 2009e druk 9780387848983Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
The aim of this textbook is to introduce the theory of nonlinear dispersive equations to graduate students in a constructive way. The first three chapters are dedicated to preliminary material, such as Fourier transform, interpolation theory and Sobolev spaces. The authors then proceed to use the linear Schrodinger equation to describe properties enjoyed by general dispersive equations. This information is then used to treat local and global well-posedness for the semi-linear Schrodinger equations. The end of each chapter contains recent developments and open problems, as well as exercises.
Specificaties
ISBN13:9780387848983
Taal:Engels
Bindwijze:paperback
Aantal pagina's:260
Uitgever:Springer New York
Druk:2009
Serie:Universitext
Lezersrecensies
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Inhoudsopgave
The Fourier Transform.- Interpolation of Operators. A Multiplier Theorem.- Sobolev Spaces and Pseudo-Differential Operators.- The Linear Schrodinger Equation.- The Nonlinear Schrodinger Equation. Local Theory.- Asymptotic Behavior for NLS Equation.- Korteweg-de Vries Equation.- Asymptotic Behavior for k-gKdV Equations.- Other Nonlinear Dispersive Models.- General Quasilinear Schrodinger Equation.
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