Prefer a chat interface with context about you and your work?
Construction of solitary wave solution of the nonlinear focusing schr\"odinger equation outside a strictly convex obstacle for the $L^2$-supercritical case
We consider the focusing $L^2$-supercritical Schrodinger equation in the exterior of a smooth, compact, strictly convex obstacle. We construct a solution behaving asymptotically as a solitary waves on $R^3$, as large time. When the velocity of the solitary wave is high, the existence of such a solution can be proved …