Null controllability for a parabolic-elliptic coupled system

被引：12

作者：

Fernandez-Cara, E. ^{[1
]}

Limaco, J. ^{[2
]}

de Menezes, Silvano B. ^{[3
]}

机构：

[1] Univ Seville, Dpto EDAN, E-41080 Seville, Spain

[2] Univ Fed Fluminense, Inst Matemat, BR-24020140 Niteroi, RJ, Brazil

[3] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2013年 / 44卷 / 02期

关键词：

null controllability; parabolic-elliptic systems; Carleman inequalities; APPROXIMATE CONTROLLABILITY;

D O I：

10.1007/s00574-013-0014-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the null controllability of some parabolic-elliptic systems. The control is distributed, locally supported in space and appears only in one PDE. The arguments rely on fixed-point reformulation and suitable Carleman estimates for the solutions to the adjoint system. Under appropriate assumptions, we also prove that the solution can be obtained as the asymptotic limit of some similar parabolic systems.

引用

页码：285 / 308

页数：24

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