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GLOBAL CARLEMAN ESTIMATE AND STATE OBSERVATION PROBLEM FOR GINZBURG-LANDAU EQUATION.

Authors :
FANGFANG DOU
XIAOYU FU
ZHONGHUA LIAO
XIAOMIN ZHU
Source :
SIAM Journal on Control & Optimization; 2023, Vol. 61 Issue 5, p2981-2996, 16p
Publication Year :
2023

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 R<superscript>n</superscript>, n = 2, 3. As applications, we study state observation problems for the Ginzburg-Landau equation. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
NONLINEAR operators
EQUATIONS

Details

Language :
English
ISSN :
03630129
Volume :
61
Issue :
5
Database :
Complementary Index
Journal :
SIAM Journal on Control & Optimization
Publication Type :
Academic Journal
Accession number :
173581450
Full Text :
https://doi.org/10.1137/22M1522516