Abstract
We study the well-posedness of the 5-th Korteweg–de Vries (KdV) equation in the space when the initial data is drawn from and the boundary data lies in the product space for some appropriate indices that depend on . As we will see later, the natural choices of are , , , , . We first use contraction mapping method to obtain the local solution of the IBVP, furthermore to get the global solution by the a prior estimate.
Citation
Fengxia Liu. Boling Guo. "A nonhomogeneous boundary-value problem for the 5-th Korteweg–de Vries equation posed on the half line." Rocky Mountain J. Math. 51 (2) 621 - 641, April 2021. https://doi.org/10.1216/rmj.2021.51.621
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