OBSERVABILITY OF N-DIMENSIONAL INTEGRO-DIFFERENTIAL SYSTEMS

被引：1

作者：

Loreti, Paola ^{[1
]}

Sforza, Daniela ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Sci Base & Applicate Ingn, Via Antonio Scarpa 16, I-00161 Rome, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2016年 / 9卷 / 03期

关键词：

Coupled systems; convolution kernels; Fourier series; Ingham estimates; reachability; WAVE-EQUATION; CONTROLLABILITY;

D O I：

10.3934/dcdss.2016026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the paper is to show a reachability result for the solution of a multidimensional coupled Petrovsky and wave system when a non local term, expressed as a convolution integral, is active. Motivations to the study are in linear acoustic theory in three dimensions. To achieve that, we prove observability estimates by means of Ingham type inequalities applied to the Fourier series expansion of the solution.

引用

页码：745 / 757

页数：13

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[2]

[Anonymous], 1990, ENCY MATH APPL

[3]

[Anonymous], 2005, SPRINGER MONOGR MATH

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