论文标题
通过抽象粘弹性系统的边界控制来源重建和稳定性
Source Reconstruction and Stability via Boundary Control of Abstract Viscoelastic Systems
论文作者
论文摘要
我们研究了从一般空间维度中的单个边界测量中的一类粘弹性系统的逆源问题。我们提供了特定的重建公式和源估计，以边界测量为生。我们的方法依赖于相应的粘弹性系统的确切边界可控性，我们还基于对知名力矩方法的修改提供了新的证明。
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.
