no code implementations • 3 Feb 2021 • Oussama Landoulsi, Svetlana Roudenko, Kai Yang
Moreover, we show that the sharp threshold for global existence vs. finite time blow-up solutions in the mass critical case in the presence of the obstacle is the same as the one given by Weinstein for {\rm{NLS}} in the whole Euclidean space $\R^d$.
Analysis of PDEs Numerical Analysis Numerical Analysis
no code implementations • 24 Dec 2020 • Oussama Landoulsi
In this paper, we consider the Schr\"odinger equation with a mass-supercritical focusing nonlinearity, in the exterior of a smooth, compact, convex obstacle of $\R^{d}$ with Dirichlet boundary conditions.
Analysis of PDEs
