# Well-posedness of a Class of Non-homogeneous Boundary Value Problems of the Korteweg-de Vries Equation on a Finite Domain

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In this paper, we study a class of initial-boundary value problems for the Korteweg-de Vries equation posed on a bounded domain $0,L$. We show that the initial-boundary value problem is locally well-posed in the classical Sobolev space $H^s0,L$ for $s-\frac34$, which provides a positive answer to one of the open questions of Colin and Ghidalia .

Author: Eugene Kramer; Ivonne Rivas; Bing-Yu Zhang

Source: https://archive.org/