论文标题
重建反应扩散系统的逆问题
The Inverse Problem of Reconstructing Reaction-Diffusion Systems
论文作者
论文摘要
本文认为，从反应扩散系统中恢复状态依赖的源项的反问题是从固定有限时间（人口普查型数据）或其值的时间轨迹在空间域边界上的固定点上的时间轨迹的反应扩散系统中的反应源项。我们既显示出唯一性结果，又显示了旨在恢复这些来源的迭代方案的收敛性。这导致了一种重建方法，我们将通过几个说明性示例证明其有效性。
This paper considers the inverse problem of recovering state-dependent source terms in a reaction-diffusion system from overposed data consisting of the values of the state variables either at a fixed finite time (census-type data) or a time trace of their values at a fixed point on the boundary of the spatial domain. We show both uniqueness results and the convergence of an iteration scheme designed to recover these sources. This leads to a reconstructive method and we shall demonstrate its effectiveness by several illustrative examples.
