An Initial-boundary-value Problem for the Modified Korteweg-de Vries Equation in a Quarter Plane

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Abstract

In this paper, we obtain some linear estimates, trilinear estimates. Through these estimates, we prove the local wellposeness of modified Korteweg-de Vries equation in a quarter plane.

Keywords:

the modified Korteweg-de Vries equation;initial-boundary-value problem;well-posedness
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An Initial-boundary-value Problem for the Modified Korteweg-de Vries Equation in a Quarter Plane. (2020). Journal of Partial Differential Equations, 18(4), 311-321. https://www.global-sci.com/index.php/jpde/article/view/4055