Exact null controllability of structurally damped and thermo-elastic parabolic models
Lasiecka, Irena ; Triggiani, Roberto
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 9 (1998), p. 43-69 / Harvested from Biblioteca Digitale Italiana di Matematica
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We show exact null-controllability for two models of non-classical, parabolic partial differential equations with distributed control: (i) second-order structurally damped equations, except for a limit case, where exact null controllability fails; and (ii) thermo-elastic equations with hinged boundary conditions. In both cases, the problem is solved by duality.

In questa Nota dimostriamo la proprietà di controllabilità esatta all’origine per due modelli di equazioni alle derivate parziali, di tipo parabolico, non-classiche, con controllo distribuito: (i) equazioni del secondo ordine fortemente smorzate, eccetto che per un caso limite dove tale proprietà di controllabilità è falsa; (ii) equazioni termo-elastiche, con condizioni al contorno incernierate. In entrambi i casi, il problema è risolto per dualità.

Publié le : 1998-03-01
@article{RLIN_1998_9_9_1_43_0,
     author = {Irena Lasiecka and Roberto Triggiani},
     title = {Exact null controllability of structurally damped and thermo-elastic parabolic models},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {9},
     year = {1998},
     pages = {43-69},
     zbl = {0935.93010},
     mrnumber = {1669244},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1998_9_9_1_43_0}
}

Lasiecka, Irena; Triggiani, Roberto. Exact null controllability of structurally damped and thermo-elastic parabolic models. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 9 (1998) pp. 43-69. http://gdmltest.u-ga.fr/item/RLIN_1998_9_9_1_43_0/

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