Bessel (Riesz) potentials on Banach function spaces and their applicationsII, on existence of solutions for a class of nonlinear evolution equations

First, we apply the main results in [19] to the study for a class of nonlin ear integral equations, the existence of solutions in H-s (0 < s < infinity ) for these equations is shown. Next, as some applications, we get the loca l existence of solutions in H-s for a class of nonlinear (higher order) Sch rodinger equations. Moreover, in some additional conditions these solutions axe global. Finally, the existence of H-s-solutions for Ginzburg-Landau eq uations and for nonlinear higher order wave equations is obtained.