基于边界控制的抽象粘弹性系统源重构与稳定性
Source Reconstruction and Stability via Boundary Control of Abstract Viscoelastic Systems
摘要：
研究了一般空间维中一类粘弹性系统的单边界测量源反问题。我们给出了具体的重建公式和稳定性估计的源的边界测量。我们的方法依赖于相应的粘弹性系统，我们也提供了一个新的证明的基础上修改著名的矩量法的精确边界能控性。
英文摘要：
We study the inverse source problem for a class of viscoelastic systems from a single boundary measurement in a general spatial dimension. We give specific reconstruction formula and stability estimate for the source in terms of the boundary measurement. Our approaches rely on the exact boundary controllability of the corresponding viscoelastic systems for which we also provide a new proof based on a modification of the well-known moment method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
