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- W1954247989 abstract "In this paper we consider the long time behavior of the weakly damped, forced Korteweg-de Vries equation in the Sololev spaces of the negative indices in the periodic case. We prove that the solutions are uniformly bounded in $dot{H}^s(T)$ for $s>-dfrac{1}{2}$. Moreover, we show that the solution-map possesses a global attractor in $dot{H}^s(T)$ for $s>-dfrac{1}{2}$, which is a compact set in $H^{s+3}(T)$." @default.
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- W1954247989 date "2009-10-24" @default.
- W1954247989 modified "2023-09-24" @default.
- W1954247989 title "Global Attractor for Weakly Damped Forced KdV Equation in Low Regularity on T" @default.
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