TY - JOUR T1 - An Initial-boundary-value Problem for the Modified Korteweg-de Vries Equation in a Quarter Plane JO - Journal of Partial Differential Equations VL - 4 SP - 311 EP - 321 PY - 2005 DA - 2005/11 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5366.html KW - the modified Korteweg-de Vries equation KW - initial-boundary-value problem KW - well-posedness AB -

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.