Approximate controllability for an integro-differential control problem

被引：3

作者：

Lefter, Catalin-George ^{[2
,3
]}

Lorenzi, Alfredo ^{[1
]}

机构：

[1] Univ Milan, Dipartimento Matemat F Enriques, I-20133 Milan, Italy

[2] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

[3] Acad Romana, Iasi Branch, Inst Math Octav Mayer, Iasi 700506, Romania

来源：

APPLICABLE ANALYSIS | 2012年 / 91卷 / 08期

关键词：

approximate controllability; integro-differential parabolic equations; unique continuation; Carleman estimates;

D O I：

10.1080/00036811.2012.671298

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a controlled integro-differential parabolic problem with the integral part being given by a generalized convolution and the control acting on a subdomain. We prove the approximate controllability and the basic tool is a unique continuation result at initial time, for parabolic equations which, in turn, relies on fine Carleman estimates.

引用

页码：1529 / 1549

页数：21

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