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arxiv: 1108.5394 · v1 · pith:BY76OIILnew · submitted 2011-08-26 · 🧮 math.AP

Local well-posedness of periodic fifth order KdV type equations

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keywords fifthlocalorderperiodicwell-posednessdispersiveequationequations
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In this paper, the local well-posedness of periodic fifth order dispersive equation with nonlinear term $P_1(u)\p_xu + P_2(u)\p_x u\p_xu $. Here $P_1(u)$ and $P_2(u)$ are polynomials of $u$. We also get some new Strichartz estimates.

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