In the second chapter, We obtain some linear estimates, trilinear estimates . And through these estimates , we prove the local well-posedness of modified Korteweg-de Vries equation in a quarter plane.

• 在第二章中，我们得到线性估计和三线性估计，然后证明了四分之一平面上的modified Korteweg-de Vries方程的局部适定性。