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arXiv · 0908.0344

Global rough solutions to the critical generalized KdV equation

Luiz Gustavo Farah
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Abstract

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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Luiz Gustavo Farah. 2009-08-03. Global rough solutions to the critical generalized KdV equation. https://doi.org/10.1016/j.jde.2010.05.010

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