Carleman estimates, results on control and stabilization for partial differential equations

被引：0
|
作者：
Robbiano, Luc [1 ]
机构：
[1] Univ Versailles St Quentin, Lab Math Versailles, CNRS, UMR 8100, 45 Ave Etats Unis, F-78035 Versailles, France
来源：
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL IV | 2014年
关键词：
Carleman estimates; control; null control; stabilization; exterior problem; STRONG UNIQUE CONTINUATION; DIMENSIONAL HEAT-EQUATION; NULL-CONTROLLABILITY; CAUCHY-PROBLEM; PARABOLIC EQUATIONS; APPROXIMATE CONTROLLABILITY; SEMICLASSICAL MEASURES; SOBOLEV INEQUALITIES; LOGARITHMIC DECAY; NAVIER-STOKES;
D O I：
暂无
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this survey we give some results based on Carleman estimates. We recall the classical uniqueness result based on interior Carleman estimate. We give Carleman estimate up the boundary useful for the applications. The main applications are, approximative control for wave equation, null control for heat equation, stabilization for wave equation for an interior damping or for a boundary damping and local energy decay for wave equation in exterior domain.
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页码：897 / 919
页数：23
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