Decay rates of Volterra equations on RN

被引：15

作者：

Conti, Monica ^{[1
]}

Gatti, Stefania ^{[2
]}

Pata, Vittorino ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy

[2] Univ Modena & Reggio Emilia, Dipartimento Matemat, I-41100 Modena, Italy

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2007年 / 5卷 / 04期

关键词：

integro-differential equations; memory kernel; polynomial decay;

D O I：

10.2478/s11533-007-0024-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This note is concerned with the linear Volterra equation of hyperbolic type partial derivative(tt)u(t)-alpha Delta u(t)+integral(t)(0)mu(s)Delta u(t-s)ds=0 on the whole space R(N). New results concerning the decay of the associated energy as time goes to infinity were established. (C) Versita Warsaw and Springer-Verlag Berlin Heidelberg. All rights reserved.

引用

页码：720 / 732

页数：13

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