Minimal time of the pointwise controllability for a degenerate/singular parabolic equation and related numerical results via B-splines

Eddargani, Salah; Sbai, Amine

doi:10.1016/j.cam.2025.116892

1-s2.0-S0377042725004066-main.pdf (1.939Mb)

Identificadores

URI: https://hdl.handle.net/10481/106419

DOI: 10.1016/j.cam.2025.116892

Exportar

Editorial

Elsevier

Materia

Controllability

Pointwise control

Minimal null control time

Fecha

2026-02

Referencia bibliográfica

Eddargani, S., & Sbai, A. (2026). Minimal time of the pointwise controllability for a degenerate/singular parabolic equation and related numerical results via B-splines. Journal of Computational and Applied Mathematics, 473(116892), 116892. https://doi.org/10.1016/j.cam.2025.116892

Patrocinador

MCINN/AEI/10.13039/501100011033/CEX2020-001105-M

Resumen

The goal of this paper is to analyze the pointwise controllability properties of a one-dimensional degenerate/singular parabolic equation. We prove the conditions that characterize approximate and null controllability. Besides, a numerical simulation based on B-splines is provided, in which both the state and the control are represented in terms of B-spline basis functions. The numerical results obtained match the theoretical ones.

Colecciones

DGT - Artículos

Excepto si se señala otra cosa, la licencia del ítem se describe como Atribución 4.0 Internacional