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3 - A Null-Controllability Result for the Linear System of Thermoelastic Plates with a Single Control

Published online by Cambridge University Press:  25 October 2017

Carlos Castro
Affiliation:
Department of Mathematics and Information
Luz De Teresa
Affiliation:
none
Kaïs Ammari
Affiliation:
Université de Monastir, Tunisia
Stéphane Gerbi
Affiliation:
Université Savoie Mont Blanc, France
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Summary

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Type
Chapter
Information
Evolution Equations
Long Time Behavior and Control
, pp. 77 - 89
Publisher: Cambridge University Press
Print publication year: 2017

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References

[1] G., Avalos, Exact controllability of a thermoelastic system with control in the thermal component only, Diff. Integr. Eq. 13 (4–6) (2000), 613–30.Google Scholar
[2] G., Avalos, I., Lasiecka, The null controllability of thermoelastic plates and singularity of the associated minimal energy function, Math. Anal. Appl. 294 (2004), 34–61.Google Scholar
[3] A., Benabdallah, M.G., Naso, Null controllability of a thermoelastic plate, Abstr. Appl. Anal. 7 (11) (2002), 585–99.Google Scholar
[4] E. Fernández-Caray, A., Munch, Strong convergent approximations of null controls for the heat equation, SEMA J. 61 (1) (2013), 49–78.Google Scholar
[5] C., Castro, L., de Teresa, Null controllability of the linear system of thermoelastic plates, J. Math. Anal. App. 428 (2) (2015), 772–93.Google Scholar
[6] M., Eller, I., Lasiecka, R., Triggiani, Simultaneous exact/approximate boundary controllability of thermo-elastic plates with variable thermal coefficient and moment control, J. Math. Anal. App. 251 (2000), 452–78.Google Scholar
[7] A., Fursikov, O.Yu., Imanuvilov, Controllability of Evolution Equations, Lecture Notes Ser. 34, Seoul National University, Korea, (1996).
[8] S.W., Hansen, B., Zhang, Boundary control of a linear thermo-elastic beam, J. Math. Anal. Appl., 210 (1997), 182–205.Google Scholar
[9] E., Lagnese, The reachability problem of thermoelastic plates, Arch. Rat. Mech. Anal. 112 (1990), 223–67.Google Scholar
[10] I., Lasiecka, T.I., Seidman, Blowup estimates for observability of a thermoelastic system, Asymptot. Anal. 50 (1–2) (2006), 93–120.Google Scholar
[11] I., Lasiecka, R., Triggiani, Exact null controllability of structurally damped and thermoelastic parabolic models, Rend. Mat. Acc. Lincei 9 (9) (1998), 43–69.Google Scholar
[12] L. de Teresa, E., Zuazua, Controllability of the linear system of thermoelastic plates, Adv. Diff. Eq. 1 (3) (1996), 369–402.Google Scholar

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