Electronic Journal of Differential Equations, Vol. 2008(2008), No. 71, pp. 1-10. Title: Power series solution for the modified KdV equation Author: Tu Nguyen (Univ. of Chicago, IL, USA) Abstract: We use the method developed by Christ [3] to prove local well-posedness of a modified Korteweg de Vries equation in $\mathcal{F}L^{s,p}$ spaces. Submitted April 10, 2008. Published May 13, 2008. Math Subject Classifications: 35Q53. Key Words: Local well-posedness; KdV equation.