Control problems for weakly coupled systems with memory

被引：14

作者：

Loreti, Paola ^{[1
]}

Sforza, Daniela ^{[1
]}

机构：

[1] Sapienza Univ Roma, Dipartimento Sci Base Applicat Ingn, Sez Matemat, I-00161 Rome, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年 / 257卷 / 06期

关键词：

Coupled systems; Convolution kernels; Fourier series; Ingham estimates; Reachability; EXACT BOUNDARY CONTROLLABILITY; INTEGRODIFFERENTIAL EQUATION; WAVE-EQUATION; VISCOELASTICITY; OBSERVABILITY; STABILIZATION; INEQUALITIES; SERIES;

D O I：

10.1016/j.jde.2014.05.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate control problems for wave-Petrovsky coupled systems in the presence of memory terms. By writing the solutions as Fourier series, we are able to prove Ingham type estimates, and hence reachability results. Our findings have applications in viscoelasticity theory and linear acoustic theory. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1879 / 1938

页数：60

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