We prove the global existence and scattering for the Hartree-type equation in Hs(3) the low regularity space s<1. We follow the ideas in Colliander et al. (2004) to the Hartree-type nonlinearity, and also develop the theory of the classical multilinear operator modifying the Lp estimate in Coifman and Meyer (1978).
- Nonlinear Hartree-type Schrödinger equation
ASJC Scopus subject areas
- Applied Mathematics