The generalized Korteweg-de Vries equation on the half line

Preprint

14 March 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0111294

Abstract

The initial-boundary value problem for the generalized Korteweg-de Vries equation on a half-line is studied by adapting the initial value techniques developed by Kenig, Ponce and Vega and Bourgain to the initial-boundary setting. The approach consists of replacing the initial-boundary problem by a forced initial value problem. The forcing is selected to satisfy the boundary condition by inverting a Riemann-Liouville fractional integral.

Keywords

BOUNDARY VALUE PROBLEM
INITIAL VALUE PROBLEM
GENERALIZED KORTEWEG
FRACTIONAL INTEGRAL
KORTEWEG DE VRIES
VRIES EQUATION
HALF LINE
ADAPTING

All Related Versions

Version 1, 2001-11-28, ArXiv
Version 2, 2001-12-06, ArXiv
Version 3, 2002-03-14, ArXiv

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