Shortcuts
Please wait while page loads.
SISSA Library . Default .
PageMenu- Main Menu-
Page content

Catalogue Display

Introduction to Nonlinear Dispersive Equations

Introduction to Nonlinear Dispersive Equations
Catalogue Information
Field name Details
Dewey Class 515.353
Title Introduction to Nonlinear Dispersive Equations (M) / by Felipe Linares, Gustavo Ponce.
Author Linares, Felipe
Added Personal Name Ponce, Gustavo
Edition statement 2nd ed. 2015.
Publication New York, NY : : Springer New York , 2015
Physical Details xvi, 301 p. : ill. ; 23 cm.
Series Universitext
ISBN 9781493921805
Summary Note This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg–de Vries equation and the nonlinear Schrödinger equation. A concise and self-contained treatment of background material (the Fourier transform, interpolation theory, Sobolev spaces, and the linear Schrödinger equation) prepares the reader to understand the main topics covered: the initial-value problem for the nonlinear Schrödinger equation and the generalized Korteweg–de Vries equation, properties of their solutions, and a survey of general classes of nonlinear dispersive equations of physical and mathematical significance. Each chapter ends with an expert account of recent developments and open problems, as well as exercises. The final chapter gives a detailed exposition of local well-posedness for the nonlinear Schrödinger equation, taking the reader to the forefront of recent research. The second edition of Introduction to Nonlinear Dispersive Equations builds upon the success of the first edition by the addition of updated material on the main topics, an expanded bibliography, and new exercises. Assuming only basic knowledge of complex analysis and integration theory, this book will enable graduate students and researchers to enter this actively developing field.:
Contents note 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.
Internet Site http://dx.doi.org/10.1007/978-1-4939-2181-2
Links to Related Works
Subject References:
Authors:
Series:
Classification:
Catalogue Information 52562 Beginning of record . Catalogue Information 52562 Top of page .
Item Information
Barcode Shelf Location Collection Volume Ref. Branch Status Due Date
0000000044698 517.952 LIN 2nd ed. General   SISSA . . Available .  
. Catalogue Record 52562 ItemInfo Beginning of record . Catalogue Record 52562 ItemInfo Top of page .

Reviews


This item has not been rated.    Add a Review and/or Rating52562
Quick Search