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- W2017488925 abstract "We prove that the initial value problem (IVP) associated to the fifth order KdV equation {equation} label{05KdV} partial_tu-alphapartial^5_x u=c_1partial_xupartial_x^2u+c_2partial_x(upartial_x^2u)+c_3partial_x(u^3), {equation} where $x in mathbb R$, $t in mathbb R$, $u=u(x,t)$ is a real-valued function and $alpha, c_1, c_2, c_3$ are real constants with $alpha neq 0$, is locally well-posed in $H^s(mathbb R)$ for $s ge 2$. In the Hamiltonian case (textit i.e. when $c_1=c_2$), the IVP associated to eqref{05KdV} is then globally well-posed in the energy space $H^2(mathbb R)$." @default.
- W2017488925 created "2016-06-24" @default.
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- W2017488925 date "2012-05-01" @default.
- W2017488925 modified "2023-09-27" @default.
- W2017488925 title "Well-posedness for the fifth-order KdV equation in the energy space" @default.
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