Abstract
In this paper, we study the exponential stability for the semilinear defocusing Schrödinger equation with locally distributed damping on a bounded domain $\Omega \subset \mathbb{R}^n$ with smooth boundary $\partial \Omega$. The proofs are based on a result of unique continuation property due to Cavalcanti et al. [15] and on a forced smoothing effect due to Aloui [2] combined with ideas from Cavalcanti et. al. [15], [16] adapted to the present context.
Citation
César Augusto Bortot. Wellington José Corrêa. "Exponential stability for the defocusing semilinear Schrödinger equation with locally distributed damping on a bounded domain." Differential Integral Equations 31 (3/4) 273 - 300, March/April 2018. https://doi.org/10.57262/die/1513652427