Carleman estimate for full-discrete approximations of the complex Ginzburg-Landau equation with dynamic boundary conditions and applications to controllability

Discrete and Continuous Dynamical Systems - B 2026 Open access

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Authors: Xu Zhu, Wenwen Zhou, Bin Wu
DOI: 10.3934/dcdsb.2026091
Cited by: 0

Abstract

In this paper, we investigate a Carleman estimate and a controllability result for the full-discrete approximations of a one-dimensional Ginzburg-Landau equation with dynamic boundary conditions. We first establish a new discrete Carleman estimate for 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 full-discrete Ginzburg-Landau equation with dynamic boundary conditions.

Fields of Study & Subjects

advanced mathematical theories Spectral Theory in Mathematical Physics Numerical methods in inverse problems

Publication details

Journal / source
Discrete and Continuous Dynamical Systems - B
Volume
39
Issue
0
Pages
298–334
Publication date
1 January 2026
Language
EN