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Introduction to Nonlinear Dispersive Equations [Universitext] - Felipe Linares, Gustavo Ponce - ( Springer - 2009 - pp.263).pdf

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Introduction to Nonlinear Dispersive Equations [Universitext] - Felipe Linares, Gustavo Ponce - ( Springer - 2009 - pp.263).pdf

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Introduction to Nonlinear Dispersive Equations [Universitext] - Felipe Linares, Gustavo Ponce - ( Springer - 2009 - pp.263).pdf

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文档介绍:Felipe Linares · Gustavo Ponce
Introduction
to Nonlinear Dispersive
Equations
ABC
Felipe Linares Gustavo Ponce
Instituto Nacional de Department Mathematics
Matematica´ Pura e Aplicada University of California
(IMPA) Santa Barbara
Estrada Dona Castorina 110 College of Letters and Science
Rio de Janeiro-RJ Santa Barbara CA 93106
Brazil USA
******@ ******@
ISBN 978-0-387-84898-3 e-ISBN 978-0-387-84899-0
DOI -0-387-84899-0
Library of Congress Control Number: 2008939461
Mathematics Subject Classification (2000): 37Lxx:37L50
°c Springer Science+Business Media, LLC 2009
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY
10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connec-
tion with any form of information storage and retrieval, electronic adaptation, computer software, or
by similar or dissimilar methodology now known or hereafter developed is forbidden.
The use in this publication of trade names, trademarks, service marks, and similar terms, even if they
are not identified as such, is not to be taken as an expression of opinion as to whether or not they are
subject to proprietary rights.
Cover design: SPi Publisher Services
Printed on acid-free paper
Preface
The goal of this monograph is to present an introduction to a sampling of ideas and
methods from the subject of nonlinear dispersive equations. This subject has been
of great interest and has rapidly developed in the last few years. Here we will try to
expose some aspects of the recent developments.
The presentation is intended to be self-contained, but we will assume that the
reader has knowledge of the material usually taught in courses of theory of one
complex variable and integration theory.
This monograph is the product of lecture notes used for