English

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

Analysis of PDEs 2022-11-30 v1

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.

Keywords

Cite

@article{arxiv.2211.15887,
  title  = {Global Carleman Estimate and State Observation Problem for Ginzburg-Landau Equation},
  author = {Fangfang Dou and Zhonghua Liao and Xiaomin Zhu},
  journal= {arXiv preprint arXiv:2211.15887},
  year   = {2022}
}