Nonhomogeneous boundary value problems for the Korteweg-de Vries equation on a bounded domain |
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| Authors: | Eugene F Kramer Bingyu Zhang |
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| Institution: | 1.Department of Mathematics, Physics, and Computer Science,University of Cincinnati, Raymond Walters College,Cincinnati,USA;2.Department of Mathematical Sciences,University of Cincinnati,Cincinnati,USA |
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| Abstract: | 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 ≥ 0 via the contraction mapping principle. |
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| Keywords: | |
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