Heat equation with memory: Lack of controllability to rest

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:355

Article

Ivanov, S.¹  Pandolfi, L.² 

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

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

关键词: Heat equations with memory;    Controllability;    Interpolation;    Moment problem;    Paley-Wiener space;   

DOI  :  10.1016/j.jmaa.2009.01.008

来源: Elsevier

【 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.

【 授权许可】

Free