On the strong unique continuation of electromagnetic Schrodinger equations with random coefficients
On the strong unique continuation of electromagnetic Schrodinger equations with random coefficients
复制标题
具有随机系数的电磁薛定谔方程的强唯一延拓
DOI：
10.1016/j.jmaa.2018.02.051
复制
发表时间：
2018
影响因子：
1.3
通讯作者：
Lv Xiaofen
中科院分区：
文献类型：
--
作者：
Lu Xiaojun;Lv Xiaofen
具有随机系数的随机偏微分方程（SPDEs）是在许多复杂工程和物理应用中对扰动进行量化的有用数学模型。本文主要利用N. Garofalo和F.H. Lin[10]，[11]提出的方法，研究具有随机系数的电磁Schrödinger算子的强唯一延通性。引入了具有物理背景的适当乘数来证明先验估计。并给出了它在精确可控性问题中的应用，在这种情况下，边界值完全决定了内部值。
Stochastic partial differential equations (SPDEs) with random coefficients are useful mathematical models for the quantification of perturbations in lots of complex engineering and physical applications. This paper mainly addresses the strong unique continuation property for the electromagnetic Schrödinger operator with random coefficients by the method proposed by N. Garofalo and F.H. Lin [10], [11]. Appropriate multipliers with physical backgrounds have been introduced to prove a priori estimates. Moreover, its application in an exact controllability problem has been shown, in which case, the boundary value determines the interior value completely.