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Global rough solutions to the sixth-order Boussinesq equation

Authors :
Hongwei Wang
Amin Esfahani
Source :
Nonlinear Analysis: Theory, Methods & Applications. 102:97-104
Publication Year :
2014
Publisher :
Elsevier BV, 2014.

Abstract

We show that the Cauchy problem for the sixth-order Boussinesq equation with cubic nonlinearity is globally well-posed in H s ( R ) provided 3 / 2 s 2 .

Subjects

Subjects :
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Sixth order
Applied Mathematics
Cubic nonlinearity
Mathematical analysis
Mathematics::Analysis of PDEs
Initial value problem
Boussinesq approximation (water waves)
Analysis
Mathematics

Details

ISSN :
0362546X
Volume :
102
Database :
OpenAIRE
Journal :
Nonlinear Analysis: Theory, Methods & Applications
Accession number :
edsair.doi...........4c67c8d7f62190953c5079d1e0e2e441
Full Text :
https://doi.org/10.1016/j.na.2014.02.006
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