Global rough solutions to the cubic nonlinear Boussinesq equation

Details Global rough solutions to the cubic nonlinear Boussinesq equation Global rough solutions to the cubic nonlinear Boussinesq equation

2008-09-19

arxiv.org/abs/0809.3471v2

J. London Math. Soc. (2) 81 (2010) 241-254

Mathematics

Analysis of PDEs

21 pages, to appear, Journal of the London Mathematical Society. Many suggestions of the referee implemented

Scientific paper

10.1112/jlms/jdp069

We prove that the initial value problem (IVP) for the cubic defocusing
nonlinear Boussinesq equation $u_{tt}-u_{xx}+u_{xxxx}-(|u|^2u)_{xx}=0$ on the
real line is globally well-posed in $H^{s}(\R)$ provided $2/3

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