论文标题
Robin Laplacian具有无界电势的多维尼尔·鲍尔格 - levinson独特性和稳定性结果
Multidimensionnel Borg-Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential
论文作者
论文摘要
本文介绍了在维度3或更大的界面域中确定schrödinger运算符无限潜力的反面问题中的独特性和稳定问题,该潜在的潜力是从知识的边界频谱数据中赋予了罗宾边界条件的。这些数据由特征值形成的对定义,以及对域边界上特征函数的完整或部分差异测量。
This article deals with the uniqueness and stability issues in the inverse problem of determining the unbounded potential of the Schrödinger operator in a bounded domain of dimension 3 or greater, endowed with Robin boundary condition, from knowledge of its boundary spectral data. These data are defined by the pairs formed by the eigenvalues and either full or partial Dirichlet measurement of the eigenfunctions on the boundary of the domain.