Well-posedness of a Class of Non-homogeneous Boundary Value Problems of the Korteweg-de Vries Equation on a Finite Domain
| Autor: | Kramer, Eugene, Rivas, Ivonne, Zhang, Bing-Yu |
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| Rok vydání: | 2010 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $H^s(0,L)$ for $s>-\frac34$, which provides a positive answer to one of the open questions of Colin and Ghidalia . |
| Databáze: | arXiv |
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