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arXiv · 2211.15887

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

Fangfang Dou·Zhonghua Liao·Xiaomin Zhu
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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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Fangfang Dou, Zhonghua Liao, Xiaomin Zhu. 2022-11-29. Global Carleman Estimate and State Observation Problem for Ginzburg-Landau Equation. https://arxiv.org/abs/2211.15887

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