Abstract

In this talk, we will discuss a Schrodinger operator in a conic singular space, nonlinear Helmholtz eigenfunctions and the Strichartz estimates. The main techniques are the Fredholm theory for non-elliptic operator, the microlocal analysis method and spectral analysis argument. This is based on joint papers with J. Gell-Redman(Melbourne), A. Hassell(ANU), J. Shapiro(ANU) and J. Zheng