Homogenization of low-cost control problems on perforated domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:351

Article

Muthukumar, T.¹  Nandakumaran, A. K.¹ 

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

关键词: Homogenization;    Two-scale convergence;    Optimal control;    Perforated domain;    Low-cost control;   

DOI  :  10.1016/j.jmaa.2008.09.048

来源: Elsevier

【 摘 要 】

The aim of this paper is to Study the asymptotic behaviour of some low-cost control problems in periodically perforated domains with Neumann condition oil the boundary of the holes. The optimal control problems considered here are governed by a second order elliptic boundary Value problem with oscillating coefficients. It is assumed that the cost of the control is of the same order as that describing the oscillations of the coefficients. The asymptotic analysis of small cost problem is more delicate and need the H-convergence result for weak data. In this connection, an H-convergence result for weak data under some hypotheses is also proved. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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