Local well-posedness of periodic fifth order KdV type equations

preprint2011arXivOpen access

Abstract

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 P1(u)P_1(u) and P2(u)P_2(u) are polynomials of uu. We also get some new Strichartz estimates.

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