Nonlinear Theory of Pseudodifferential Equations on a Half-line - 1st Edition - ISBN: 9780444515698, 9780080537610

Nonlinear Theory of Pseudodifferential Equations on a Half-line, Volume 194

1st Edition

Authors: Nakao Hayashi Elena Kaikina
Hardcover ISBN: 9780444515698
eBook ISBN: 9780080537610
Imprint: Elsevier Science
Published Date: 13th January 2004
Page Count: 340
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Institutional Access


Table of Contents

Introduction 1 Preliminaries 2 Sobolev spaces 3 General Theory 4 Nonlinear Schrodinger Type Equations 5 Whitham Equation 6 Korteweg-de Vries-Burgers Equation 7 Large Initial Data 8 KdV-B Type Equation 9 Dirichlet Problem for KdV Equation 10 Neumann Problem for KdV Equation 11 Landau-Ginzburg Equations 12 Burgers Equation with Pumping 13 KdVB Equation on a Segment 14 NLS Equation on Segment 15 Periodic Problem Bibliography Index


Description

Introduction 1 Preliminaries 2 Sobolev spaces 3 General Theory 4 Nonlinear Schrodinger Type Equations 5 Whitham Equation 6 Korteweg-de Vries-Burgers Equation 7 Large Initial Data 8 KdV-B Type Equation 9 Dirichlet Problem for KdV Equation 10 Neumann Problem for KdV Equation 11 Landau-Ginzburg Equations 12 Burgers Equation with Pumping 13 KdVB Equation on a Segment 14 NLS Equation on Segment 15 Periodic Problem Bibliography Index

Key Features

· For the first time the definition of pseudodifferential operator on a half-line and a segment is done · A wide class of nonlinear nonlocal and local equations is considered · Developed theory is general and applicable to different equations · The book is written clearly, many examples are considered · Asymptotic formulas can be used for numerical computations by engineers and physicists · The authors are recognized experts in the nonlinear wave phenomena

Readership

Mathematicians, Physicists, Engineers and graduate students.


Details

No. of pages:
340
Language:
English
Copyright:
© Elsevier Science 2004
Published:
Imprint:
Elsevier Science
eBook ISBN:
9780080537610
Hardcover ISBN:
9780444515698

Reviews

"The book is a first, very valuable contribution to the field, and should be recommended to everyone interested, and willing to go deeper into the subject (...)". Alberto Parmeggiani, Mathematical reviews, 2004.


About the Authors

Nakao Hayashi Author

Affiliations and Expertise

Osaka University, Japan

Elena Kaikina Author

Affiliations and Expertise

Technological Institute of Morelia, Mexico.