Exact controllability of nonlinear diffusion equations arising in reactor dynamics

被引：14

作者：

Sakthivel, K. ^{[2
]}

Balachandran, K. ^{[2
]}

Sritharan, S. S. ^{[1
]}

机构：

[1] Univ Wyoming, Dept Math, Laramie, WY 82071 USA

[2] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2008年 / 9卷 / 05期

关键词：

Carleman estimate; parabolic integro-differential equation; controllability; observability;

D O I：

10.1016/j.nonrwa.2007.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the problems of local exact controllability of nonlinear and global exact null controllability of linear parabolic integro-differential equations, respectively. with mixed and Neumann boundary data with distributed controls acting on a subdomain omega of Omega subset of R-n. The proof of the linear problem relies on a Carlernan-type estimate and observability inequality for the adjoint equations and that the nonlinear one, on the fixed point technique. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2029 / 2054

页数：26

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