CARLEMAN ESTIMATES FOR SOME TWO-DIMENSIONAL DEGENERATE PARABOLIC PDES AND APPLICATIONS

被引：4

作者：

Araruna, F. D. ^{[1
]}

Araujo, B. S. V. ^{[2
]}

Fernandez-Cara, E. ^{[3
,4
]}

机构：

[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, PB, Brazil

[2] Univ Fed Campina Grande, Dept Matemat, BR-58429000 Campina Grande, PB, Brazil

[3] Univ Seville, Dept EDAN, Aptdo 1160, Seville 41080, Spain

[4] Univ Seville, IMUS, Aptdo 1160, Seville 41080, Spain

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2019年 / 57卷 / 06期

关键词：

null controllability; degenerate parabolic equations; Carleman inequalities; NULL CONTROLLABILITY;

D O I：

10.1137/18M1219801

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with a class of two-dimensional degenerate parabolic equations in a square. The goals are to obtain Carleman estimates and then establish related controllability results. We assume that the degeneracy occurs only on a part of the boundary. We present well-posedness results and then, under some geometrical assumptions, we build suitable weight functions that allow us to deduce global Carleman estimates. As an application, we prove several null controllability and Stackelberg-Nash null controllability results.

引用

页码：3985 / 4010

页数：26

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