Minimal time of the pointwise controllability for degenerate singular operators and related numerical results via B-splines
arXiv:2405.04930 · doi:10.1016/j.cam.2025.116892
Abstract
The goal of this paper is to analyze the pointwise controllability properties of a one-dimensional degenerate/singular equation. We prove the conditions that characterize approximate and null controllability. Besides, a numerical simulation based on B-splines will be provided, in which the state and the control function are represented in terms of B-spline basis functions. The numerical results obtained match the theoretical ones.