The Global Solution of an Initial Value Problem for a Generalised Boussinesq Equation

Lai, S; Wu, Y; Zhang, G

The Global Solution of an Initial Value Problem for a Generalised Boussinesq Equation

Lai, S Wu, Y Zhang, G

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Publisher:: Academic Publications
Publication Type:: Journal Article
Citation:: International Journal of Differential Equations and Applications, 2003, 7 (2), pp. 153 - 163
Issue Date:: 2003-01

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Field	Value	Language
dc.contributor.author	Lai, S	en_US
dc.contributor.author	Wu, Y	en_US
dc.contributor.author	Zhang, G https://orcid.org/0000-0003-3960-0583	en_US
dc.date.issued	2003-01	en_US
dc.identifier.citation	International Journal of Differential Equations and Applications, 2003, 7 (2), pp. 153 - 163	en_US
dc.identifier.issn	1311-2872	en_US
dc.identifier.uri	http://hdl.handle.net/10453/6077
dc.description.abstract	This paper deals with the well-posedness of the global solution of a small initial value problem for a generalized Boussinesq equation. The conditions for the existence and uniqueness of the solution to the problem are established in a Sobolev space. It is also proved that the global solution decays exponentially in time.	en_US
dc.publisher	Academic Publications	en_US
dc.relation.ispartof	International Journal of Differential Equations and Applications	en_US
dc.title	The Global Solution of an Initial Value Problem for a Generalised Boussinesq Equation	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	7	en_US
utslib.for	0103 Numerical and Computational Mathematics	en_US
utslib.for	0101 Pure Mathematics	en_US
utslib.for	0102 Applied Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Computer Science
pubs.organisational-group	/University of Technology Sydney/Strength - CAI - Centre for Artificial Intelligence
utslib.copyright.status	open_access
pubs.consider-herdc	false	en_US
pubs.issue	2	en_US
pubs.volume	7	en_US

Abstract:

This paper deals with the well-posedness of the global solution of a small initial value problem for a generalized Boussinesq equation. The conditions for the existence and uniqueness of the solution to the problem are established in a Sobolev space. It is also proved that the global solution decays exponentially in time.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/6077