Journal of Nonlinear Mathematical Physics

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Volume 23, Issue 2, March 2016, Pages 213 - 233

On the well-posedness of the Holm-Staley b-family of equations

Authors
Hasan Inci
EPFL SB MATHAA PDE, MA C1 627 (Bâtiment MA), Station 8, CH-1015 Lausanne, Switzerland,hasan.inci@epfl.ch
Received 4 January 2016, Accepted 26 January 2016, Available Online 6 January 2021.
DOI
10.1080/14029251.2016.1161261How to use a DOI?
Keywords
diffeomorphism group; solution map
Abstract

In this paper we consider the Holm-Staley b-family of equations in the Sobolev spaces Hs(ℝ) for s>3/2. Using a geometric approach we show that, for any value of the parameter b, the corresponding solution map,u(0)↦u(T ), is nowhere locally uniformly continuous.

Copyright
© 2016 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
23 - 2
Pages
213 - 233
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2016.1161261How to use a DOI?
Copyright
© 2016 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Hasan Inci
PY  - 2021
DA  - 2021/01/06
TI  - On the well-posedness of the Holm-Staley b-family of equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 213
EP  - 233
VL  - 23
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2016.1161261
DO  - 10.1080/14029251.2016.1161261
ID  - Inci2021
ER  -