- On Strichartz estimate for a lot of physique Schrödinger equation within the waveguide setting
Authors: Zehua Zhao
Summary: On this brief paper, we show Strichartz estimates for N-body Schrödinger equations within the waveguide manifold setting (i.e. on semiperiodic areas Rm×Tn the place m≥3), supplied that interplay potentials are sufficiently small (relying on the variety of the particles and the common constants, not on the preliminary information). The proof combines each the concepts of Tzvetkov-Visciglia cite{TV1} and Hong cite{hong2017strichartz}. As a direct utility, the scattering asymptotics for this mannequin can also be obtained. This end result extends Hong cite{hong2017strichartz} to the waveguide case.
