Optimal blowup rates for the minimal energy null control of the strongly damped abstract wave equation
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 3, pp. 601-616.

The null controllability problem for a structurally damped abstract wave equation -often referred to in the literature as a structurally damped equation- is considered with a view towards obtaining optimal rates of blowup for the associated minimal energy function ${ℰ}_{min}\left(T\right)$, as terminal time $T↓0$. Key use is made of the underlying analyticity of the semigroup generated by the elastic operator $𝒜$, as well as of the explicit characterization of its domain of definition. We ultimately find that the blowup rate for ${ℰ}_{min}\left(T\right)$, as $T$ goes to zero, depends on the extent of structural damping.

Classification : 35,  93
@article{ASNSP_2003_5_2_3_601_0,
author = {Avalos, George and Lasiecka, Irena},
title = {Optimal blowup rates for the minimal energy null control of the strongly damped abstract wave equation},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {601--616},
publisher = {Scuola normale superiore},
volume = {Ser. 5, 2},
number = {3},
year = {2003},
zbl = {1170.35470},
mrnumber = {2020861},
language = {en},
url = {http://www.numdam.org/item/ASNSP_2003_5_2_3_601_0/}
}
Avalos, George; Lasiecka, Irena. Optimal blowup rates for the minimal energy null control of the strongly damped abstract wave equation. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 3, pp. 601-616. http://www.numdam.org/item/ASNSP_2003_5_2_3_601_0/

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