Control problems for weakly coupled systems with memory

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:257

Article

Loreti, Paola¹  Sforza, Daniela¹ 

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

关键词: Coupled systems;    Convolution kernels;    Fourier series;    Ingham estimates;    Reachability;   

DOI  :  10.1016/j.jde.2014.05.016

来源: Elsevier

【 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.

【 授权许可】

Free