Type: Article

Higher order nonlinear Schrödinger equations with singular data

Hayashi, Nakao; Naumkin, Pavel I.; Ogawa, T.;

Abstract:

We consider the Cauchy problem for the higher-order nonlinear Schrödinger equation (Formula presented.) where (Formula presented.)(Formula presented.)(Formula presented.). We prove local existence of solutions for the case of singular initial data (Formula presented.) including the Dirac delta function