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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.
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विषयसूची
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-g Kd V Equations.- Other Nonlinear Dispersive Models.- General Quasilinear Schrodinger Equation.
भाषा अंग्रेज़ी ● स्वरूप PDF ● पेज 260 ● ISBN 9780387848990 ● फाइल का आकार 2.0 MB ● प्रकाशक Springer New York ● शहर NY ● देश US ● प्रकाशित 2009 ● डाउनलोड करने योग्य 24 महीने ● मुद्रा EUR ● आईडी 2146390 ● कॉपी सुरक्षा Adobe DRM
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