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Catalogue Information
Field name	Details
Dewey Class	515.355
Title	Introduction to Nonlinear Dispersive Equations (EB) / by Gustavo Ponce, Felipe Linares.
Author	Ponce, Gustavo
Added Personal Name	Linares, Felipe
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2009.
Physical Details	: online resource.
Series	Universitext
ISBN	9780387848990
Summary Note	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.:
Contents note	Preface -- The Fourier Transform -- Interpolation of Operators: A Multiplier Theorem -- Sobolev Spaces and Pseudo-differential Operators -- The Linear Schrödinger Equation -- The Nonlinear Schrödinger Equation, Local theory -- Asymptotic Behavior for NLS Equation -- Korteweg-de Vries Equation -- Asymptotic Behavior of Solutions for the k-gKdV Equations -- Other Nonlinear Dispersive Models -- General Quasilinear Schrödinger Equation -- Appendix -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-0-387-84899-0
Links to Related Works	Subject References: Differential equations, Partial . Mathematics . Partial differential equations . Authors: author . Linares, Felipe . Ponce, Gustavo . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 515.355 .

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Introduction to Nonlinear Dispersive Equations

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