The L∞-null controllability of parabolic equation with equivalued surface boundary conditions

被引：3

作者：

Lu, Qi ^{[1
,2
]}

Yin, Zhongqi ^{[3
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China

[2] Basque Ctr Appl Math, Bilbao 48009, Basque Country, Spain

[3] Sichuan Normal Univ, Dept Math, Chengdu 610068, Peoples R China

来源：

ASYMPTOTIC ANALYSIS | 2013年 / 83卷 / 04期

关键词：

L-infinity-null controllability; parabolic equation; equivalued surface boundary condition; Lebeau-Robbiano iteration; HEAT-EQUATION;

D O I：

10.3233/ASY-131167

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain the L-infinity-null controllability of the parabolic equation with equivalued surface boundary conditions in Omega x [0, T]. The control is supported in the product of an open subset of Omega and a subset of [0, T] with positive measure. The main result is obtained by the method of Lebeau-Robbiano iteration, based on a new estimate for partial sum of the eigenfunctions of the elliptic operator with equivalued surface boundary conditions.

引用

页码：355 / 378

页数：24

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