Identification of the memory kernels and controllability for parabolic equations

This paper deals with the controllability and observability properties of the mathematical models (describing systems with thermal memory) consisting of boundary value problems of parabolic type, where the differential equation contains additional integral expressions including "memory function...

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Bibliographic Details
Published inEuropean journal of pure and applied mathematics Vol. 3; no. 2; pp. 235 - 253
Main Author LAVANYA, R
Format Journal Article
LanguageEnglish
Published xxx 2010
Subjects
Bellek fonksiyonu
Carleman kernel
Carleman çekirdeği
controllability
Kernel fonksiyonu
kernel function
Kontrol edilebilirlik
Matematik
Mathematics
memory function
Parabolic equation
Parabolik denklem
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ISSN1307-5543
1307-5543

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Summary:This paper deals with the controllability and observability properties of the mathematical models (describing systems with thermal memory) consisting of boundary value problems of parabolic type, where the differential equation contains additional integral expressions including "memory functions" which describe the memory property of the material. The proof of controllability relies on a Carleman type estimate and duality arguments. 2000 Mathematics Subject Classifications: 93B05, 93C20, 45K05, 35K50.
Bibliography:TMUH
ISSN:1307-5543
1307-5543