Introduction to Nonlinear Dispersive Equations (Universitext)

Introduction to Nonlinear Dispersive Equations (Universitext)

Felipe Linares, Gustavo Ponce
$79.99
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Publication Date: December 15th, 2014
Publisher:
Springer
ISBN:
9781493921805
Pages:
301
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Description

1. The Fourier Transform.- 2. Interpolation of Operators.- 3. Sobolev Spaces and Pseudo-Differential Operators.- 4. The Linear Schrodinger Equation.- 5. The Non-Linear Schrodinger Equation.- 6. Asymptotic Behavior for NLS Equation.- 7. Korteweg-de Vries Equation.- 8. Asymptotic Behavior for k-gKdV Equations.- 9. Other Nonlinear Dispersive Models.- 10. General Quasilinear Schrodinger Equation.- Proof of Theorem 2.8.- Proof of Lemma 4.2.- References.- Index.

About the Author

Felipe Linares is a Researcher at the Instituto Nacional de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro, Brazil. Gustavo Ponce is a Professor of Mathematics at the University of California in Santa Barbara.

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