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- W2091386662 abstract "In this paper we study the smoothness properties of solutions to the KP-I equation. We show that the equation's dispersive nature leads to a gain in regularity for the solution. In particular, if the initial data $phi$ possesses certain regularity and sufficient decay as $x to infty$, then the solution $u(t)$ will be smoother than $phi$ for $0 < t leq T$ where $T$ is the existence time of the solution." @default.
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- W2091386662 date "2008-08-01" @default.
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- W2091386662 title "Gain of regularity for the KP-I equation" @default.
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- W2091386662 doi "https://doi.org/10.1016/j.jde.2008.01.016" @default.
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