Ill-posedness for the \(b\)-family of equations
type: Item
instance of: scholarly article
title: Ill-posedness for the \(b\)-family of equations
zbMATH Open document ID: 1356.37079
author: A. Alexandrou Himonas
author: Katelyn Grayshan
author: Curtis Holliman
published in: Journal of Nonlinear Science
publication date: 2016-11-30T00:00:00Z
review text: The work shows that the Cauchy problem for the \(b\)-family of equations is ill-posed in Sobolev spaces \(H^s\) with \(s<3/2\), on both torus and the line for the case \(b>1\), which includes the case \(b=3\), the Degasperis-Procesi equation.
reviewed by: Bangti Jin
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 47J06
Mathematics Subject Classification ID: 65N20
zbMATH DE Number: 6657768
zbMATH Keywords: integral equation
zbMATH Keywords: ill-posed Cauchy problem
MaRDI profile type: Publication
full work available at URL: s00332-016-9302-0
OpenAlex ID: W2474802329
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DOI: 10.1007/S00332-016-9302-0
description: scientific article; zbMATH DE number 6657768