On the cost of null controllability of a fourth-order parabolic equation

被引：17

作者：

Carreno, Nicolas ^{[1
]}

Guzman, Patricio ^{[1
]}

机构：

[1] Univ Tecn Federico Santa Maria, Dept Matemat, Casilla 110-5, Valparaiso, Chile

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 261卷 / 11期

关键词：

Fourth-order parabolic equation; Cost of null controllability; Boundary control; Uniform null controllability; Carleman estimates; KURAMOTO-SIVASHINSKY EQUATION; TRANSPORT-DIFFUSION EQUATION; GLOBAL CARLEMAN ESTIMATE; HILLIARD TYPE EQUATION; LINEAR KDV EQUATION; UNIFORM CONTROLLABILITY; DISPERSION LIMIT; INVERSE PROBLEM; HEAT-EQUATION; SYSTEM;

D O I：

10.1016/j.jde.2016.08.042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the cost of null controllability of a fourth-order parabolic equation. When the control time is large enough, we prove that this cost decreases exponentially to zero as the diffusion coefficient of the equation vanishes. When the control time is small, on the contrary, we prove that this cost increases exponentially to infinity. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：6485 / 6520

页数：36

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