Mohammed Hichem MORTAD.
On L^p Estimates for the Time-Dependent Schrodinger Operator on L^2.
(1041K, PDF, Tex, Dvi.)

ABSTRACT.  Let L denote the time-dependent Schrodinger operator in n space variables. We consider a variety of Lebesgue norms for functions u on R^{n+1}, and prove or disprove estimates for such norms of u in terms of the L^2-norms of u and Lu. The results have implications for self-adjo intness of operators of the form L+V where V is a multiplication operator. The proofs are based mainly on the Strichartz-type inequalities.