06-290 Mohammed Hichem MORTAD.

On L^p Estimates for the Time-Dependent Schrodinger Operator on L^2. (1041K, PDF, Tex, Dvi.) Oct 18, 06

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 06-290.src( 06-290.comments , 06-290.keywords , pap3.tex , pap3.pdf.mm , pap3.dvi.mm )