Null controllability for the parabolic equation with a complex principal part

被引：36

作者：

Fu, Xiaoyu ^{[1
]}

机构：

[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2009年 / 257卷 / 05期

关键词：

Null controllability; Observability; Universal approach; Carleman estimate; Parabolic equation with a complex principal part; APPROXIMATE CONTROLLABILITY; WAVE-EQUATION; STABILITY; SYSTEMS; STATE;

D O I：

10.1016/j.jfa.2009.05.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is devoted to a Study of the null controllability for the semilinear parabolic equation with a complex principal part. For this purpose, we establish it key weighted identity for partial differential operators (alpha + i beta)partial derivative(1) + Sigma(n)(j,k=1) partial derivative(k) (a(jk)partial derivative(j)) (with real functions alpha and beta), by which we develop I universal approach, based on global Carleman estimate, to deduce not only the desired explicit observability estimate for the linearized complex Ginzburg-Landau equation, but also all the known controllability/observability results for the parabolic, hyperbolic, Schrodinger and plate equations that are derived via Carleman estimates. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1333 / 1354

页数：22

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