Finite time extinction for the strongly damped nonlinear Schr{ö}dinger equation in bounded domains

Pascal Bégout, Jesús Ildefonso Díaz

We prove the \textit{finite time extinction property} $(u(t)\equiv 0$ on $\Omega$ for any $t\ge T_{\star },$ for some $T_{\star }>0)$ for solutions of the nonlinear Schrödinger problem ${\rm…