Introduction to nonlinear dispersive equations / Felipe Linares and Gustavo Ponce.

By:

Linares, Felipe

Contributor(s):

Ponce, Gustavo [author]

Series: UniversitextPublication details: New York : Springer-Verlag, 2015.Edition: 2nd edDescription: xiv, 301 p. ; 24 cmISBN:

9781493921805

Subject(s):

Nonlinear wave equations

DDC classification:

530.124 23 L735

Contents:

1. The Fourier Transform.- 2. Interpolation of Operators.- 3. An Introduction to 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.- Appendix A Proof of Theorem 2.8.- Appendix B Proof of Lemma 4.2.- References.- Index.

Summary: This text is designed for graduate students. It covers the basics of the field before moving to advanced material and offers key tools in harmonic and Fourier analysis. Each chapter concludes with recent developments, open problems and exercises.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Books	ISI Library, Kolkata	530.124 L735 (Browse shelf(Opens below))	Available		136446

Total holds: 0

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Previous	530.124 K43 Emergent nonlinear phenomena in Bose-Einstein condensates	530.124 L218 Elements of soliton theory	530.124 L735 Introduction to nonlinear dispersive equations	530.124 L735 Introduction to nonlinear dispersive equations /	530.124 M685 Solitons: differential equations, symmetries and infinite dimensional algebras	530.124 M685 Solitons: differential equations, symmetries and infinite dimensional algebras	530.124 M953 Electromagnetic field theory and wave propagation /	Next

Includes bibliographical references and index.

1. The Fourier Transform.-
2. Interpolation of Operators.-
3. An Introduction to 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.-
Appendix A Proof of Theorem 2.8.-
Appendix B Proof of Lemma 4.2.-
References.-
Index.

This text is designed for graduate students. It covers the basics of the field before moving to advanced material and offers key tools in harmonic and Fourier analysis. Each chapter concludes with recent developments, open problems and exercises.

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