Global Carleman Estimate and State Observation Problem for Ginzburg-Landau Equation

2022/11/29 by Dou, Fangfang, Liao, Zhonghua, Zhu, Xiaomin · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.15887

Abstract

In this paper, we prove a global Carleman estimate for the complex Ginzburg- Landau operator with a cubic nonlinear term in a bounded domain of Rn, n = 2, 3. As applications, we study state observation problems for the Ginzburg-Landau equation.

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