Well-posedness for the Majda-Biello system on the half line

Matthew Ellis

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arXiv · 2004.09624

Well-posedness for the Majda-Biello system on the half line

Matthew Ellis

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Abstract

We study the initial-boundary value problem for the Majda-Biello system posed on the right half line. We prove local well-posedness on the half line, matching the local theory on the real line established by Oh (2008). The approach combines the Laplace transform method of Bona-Sun-Zhang with adapted estimates from the work of Colliander and Kenig on the KdV half line initial-boundary value problem.

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Matthew Ellis. 2020-04-20. Well-posedness for the Majda-Biello system on the half line. https://arxiv.org/abs/2004.09624

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