Lower regularity solutions of a class of non-homogeneous boundary value problems of the korteweg-de vries equation on a finite domain

In this paper, we study an initial-boundary value problem of the Korteweg-de Vries equation posed on a bounded interval (0;L) with nonhomogeneous boundary conditions, which is known to be locally well-posed in the Sobolev space H^s(0;L) with s ≥ -3=4. Taking the advantage of the hidden dissipative mechanism and the sharp trace regularities of its solutions, we show that the problem is locally well-posed in the space H^s (0,L) with s ≥ -1.