| Abstract: |
| We study the non-homogeneous initial-boundary-value problem (IBVP)of the fifth-order KdV equations posed on a bounded domain $(0,L)$,in the classical Sobolev space $H^s (0,L)$. We show that this problem is locally well-posed in the space $H^s (0,L)$ with $s\geq 0$ and appropriate five boundary conditions. Moreover, the corresponding solution mapping is analytic. |
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