科研之友
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摘要
This paper studies an initial-boundary-value problem (IBVP) of the Korteweg-de Vries equation posed on a finite interval with general nonhomogeneous boundary conditions. Using the strong Kato smoothing property of the associated linear problem, the IBVP is shown to be locally well-posed in the space H (s) (0, 1) for any s a parts per thousand yen 0 via the contraction mapping principle.
- 出版日期2010-6
