Global rough solutions to the critical generalized KdV equation |
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| Authors: | Luiz Gustavo Farah |
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| Institution: | a Department of Mathematics - ICEx/UFMG, Belo Horizonte, MG, CEP 31270-901, Brazil
b Department of Mathematics, University of California, Santa Barbara, CA 93106, USA |
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| Abstract: | We prove that the initial value problem (IVP) for the critical generalized KdV equation ut+uxxx+x(u5)=0 on the real line is globally well-posed in Hs(R) if s>3/5 with the appropriate smallness assumption on the initial data. |
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| Keywords: | 35Q53 |
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