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- W1668743075 abstract "This short survey paper is concerned with a new method to prove global well-posedness results for dispersive equations below energy spaces, namely $H^{1}$ for the Schrodinger equation and $L^{2}$ for the KdV equation. The main ingredient of this method is the definition of a family of what we call almost conservation laws. In particular we analyze the Korteweg-de Vries initial value problem and we illustrate in general terms how the ``algorithm'' that we use to formally generate almost conservation laws can be used to recover the infinitely many conserved integrals that make the KdV an integrable system." @default.
- W1668743075 created "2016-06-24" @default.
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- W1668743075 date "2003-01-01" @default.
- W1668743075 modified "2023-09-27" @default.
- W1668743075 title "KdV and almost conservation laws" @default.
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- W1668743075 doi "https://doi.org/10.1090/conm/320/05619" @default.
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