NEUMANN BOUNDARY VALUE PROBLEM FOR THE LANDAU-LIFSHITZ EQUATION

In this paper, we prove that there exists a unique global smooth solution for the homogeneous Neumann boundary value problem of the Landau-Lifschitz equation if the initial function is smooth.     

THE CAUCHY PROBLEM OF NONLINEAR SCHROEDINGER-BOUSSINESQ EQUATIONS IN H^3（R^d）

In this paper, the local well posedness and global well posedness of solutions for the initial value problem (IVP) of nonlinear Schroedinger-Boussinesq equations is considered in H^3(R^d) by resorting Besov spaces, where real number s≥0.