Heat equation with memory: Lack of controllability to rest

被引：65

作者：

Ivanov, S. ^{[1
]}

Pandolfi, L. ^{[2
]}

机构：

[1] St Petersburg State Univ, Laser Res Inst, St Petersburg 198904, Russia

[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 355卷 / 01期

关键词：

Heat equations with memory; Controllability; Interpolation; Moment problem; Paley-Wiener space; COSINE OPERATOR APPROACH; SYSTEMS;

D O I：

10.1016/j.jmaa.2009.01.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the one-dimensional heat equation with memory cannot be controlled to rest for large classes of memory kernels and controls. The approach is based on the application of the theory of interpolation in Paley-Wiener spaces. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：1 / 11

页数：11

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