Publikation:

Construction of exact control for a one-dimensional heat equation with delay

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Khusainov_241387.pdf
Khusainov_241387.pdfGröße: 201.58 KBDownloads: 174

Datum

2013

Autor:innen

Khusainov, Denys Ya.
Azizbayov, Elvin I.

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http://nbn-resolving.de/urn:nbn:de:bsz:352-241387
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Working Paper/Technical Report
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Zusammenfassung

We prove an exact controllability result for a one-dimensional heat equation with delay in both lower and highest order terms and nonhomogeneous Dirichlet boundary conditions. Moreover, we give an explicit representation of the control function steering the system into a given final state. Under certain decay properties for corresponding Fourier coefficients which can be interpreted as a sufficiently high Sobolev regularity of the data, both control function and the solution are proved to be regular in the classical sense both with respect to time and space variables.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

heat equation, delay, exact controllability

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ISO 690KHUSAINOV, Denys Ya., Michael POKOJOVY, Elvin I. AZIZBAYOV, 2013. Construction of exact control for a one-dimensional heat equation with delay
BibTex
@techreport{Khusainov2013Const-24138,
  year={2013},
  series={Konstanzer Schriften in Mathematik},
  title={Construction of exact control for a one-dimensional heat equation with delay},
  number={317},
  author={Khusainov, Denys Ya. and Pokojovy, Michael and Azizbayov, Elvin I.}
}
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