弱耦合 Schrödinger 方程组的稳定性

Stabilization of the weakly coupled Schrödinger system

摘要:

本文旨在研究弱耦合 Schrödinger 方程组的稳定性问题. 为此, 我们首先建立了关于弱耦合椭圆方程组的内插不等式. 基于此, 我们得到了耦合 Schrödinger 方程组的预解式估计，进而得到了相应的稳定性结果.

Abstract:

This paper is devoted to analyzing the stabilization problems of the weakly coupled Schrödinger system. For this purpose, we first establish the interpolation inequality for coupled elliptic system. Based on this, we obtain the resolvent estimate for the coupled Schrödinger system, thus obtaining the corresponding stabilization results.