Global rough solutions to the critical generalized KdV equation

Details Global rough solutions to the critical generalized KdV equation Global rough solutions to the critical generalized KdV equation

2009-08-03

arxiv.org/abs/0908.0344v2

J. Differential Equations 249 (2010) 1968-1985

Mathematics

Analysis of PDEs

23 pages, no figures. References updated, some comments added after Proposition 3.1, typos fixed. Submitted for publication

Scientific paper

10.1016/j.jde.2010.05.010

We prove that the initial value problem (IVP) for the critical generalized
KdV equation $u_{t}+u_{xxx}+(u^5)_{x}=0$ on the real line is globally
well-posed in $H^{s}(\R)$ provided $s>3/5$.

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