Type: Article

Global existence of odd solutions for the cubic fourth-order nonlinear Schrödinger equations

Hayashi, N.; Naumkin, P. I.;

Abstract:

We study the fourth-order nonlinear Schrödinger equations where the initial data are odd. Nonlinearities of the form with are expected to be subcritical, in the sense that the asymptotic behavior of solutions are different from that of the linear problem. We prove that this is not true under the conditions such that in the case of the initial data are the odd functions.