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- W2922142956 abstract "This paper is concerned with the local well-posedness for the higher-order generalized KdV type equation with low-degree of nonlinearity. The equation arises as a non-integrable and lower nonlinearity version of the higher-order KdV equation. As for the lower nonlinearity model of the KdV equation, Linares, the author and Ponce [11] prove the local well-posedness under a non-degenerate condition introduced by Cazenave and Naumkin [1]. In this paper, it turns out that the well-posedness result can be extended into the higher-order equation. We also give a lower bound for the lifespan of the solution. The lifespan depends on two quantities determined by the initial data." @default.
- W2922142956 created "2019-03-22" @default.
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- W2922142956 date "2019-03-11" @default.
- W2922142956 modified "2023-09-27" @default.
- W2922142956 title "Local Well-posedness for the higher-order generalized KdV type equation with low-degree of nonlinearity" @default.
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