Existence and polynomial growth of periodic solutions to KdV-type equations
type: Item
instance of: scholarly article
title: Existence and polynomial growth of periodic solutions to KdV-type equations
zbMATH Open document ID: 1091.35079
author: Yung-Fu Fang
published in: Hokkaido Mathematical Journal
publication date: 2006-02-20T00:00:00Z
review text: This paper studies a nonlinear dispersive equation of the Korteweg-de Vries (KdV) type. By means of Fourier series and fixed-point theorem the author proves local and global existence of periodic solutions. These equations arise in physical problems such as shallow water waves or crystalline lattices. The author also studies the polynomial growth of the solutions.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 5007470
zbMATH Keywords: global existence
zbMATH Keywords: fixed-point
zbMATH Keywords: polynomial growth
zbMATH Keywords: shallow water waves
reviewed by: Yves Cherruault
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1285766289
OpenAlex ID: W2013055944
DOI: 10.14492/HOKMJ/1285766289
description: scientific article; zbMATH DE number 5007470