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Bibliographic Details
Main Authors: Zhu, Xu, Zhou, Wenwen, Wu, Bin
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.20628
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Table of Contents:
  • In this paper, we investigate Carleman estimate and controllability result for the fully-discrete approximations of a one-dimensional Ginzburg-Landau equation with dynamic boundary conditions. We first establish a new discrete Carleman estimate for the corresponding adjoint system. Based on this Carleman estimate, we obtain a relaxed observability inequality for the adjoint system, and then a controllability result for the fully-discrete Ginzburg-Landau equation with dynamic boundary conditions.