Well-Posedness for the Schrödinger-Debye Equation

Felipe Linares | Corcho Fernandez, Adán

Keywords: Nonlinear Schr\

We establish local and global results for the initial value problem associated to the Schródinger-Debye system for data in low regularity spaces. The main tool used is an optimal application of the Strichartz estimates for the linear Schródinger operator. In the one dimensional case we also use Kato's smoothing effect to obtain global results in fractional Sobolev spaces.

Anexos:

• ac-fl-sds.pdf