Regularity of wave and plate equations with interior point control

Triggiani, Roberto

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 2 (1991), p. 307-315 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

The regularity of solutions of various dynamical equations (wave, Euler-Bernoulli, Kirchhoff, Schrödinger) in a bounded open domain $Ω$ in $R^{N}$ , subject to the action of a point control at some point of $Ω$ , is studied. Detailed proofs of the results are contained in the references [8-10].

Si studia la regolarità delle soluzioni di varie equazioni dinamiche (onde, Euler-Bernoulli, Kirchhoff, Schrödinger) in una regione limitata $Ω$ di $R^{N}$ , sotto l'azione di un controllo esercitato in un punto di $Ω$ . Le dimostrazioni dettagliate si trovano nei riferimenti bibliografici [8-10].

Publié le : 1991-12-01

MR 1152637 | Zbl 0756.93034

@article{RLIN_1991_9_2_4_307_0,
     author = {Roberto Triggiani},
     title = {Regularity of wave and plate equations with interior point control},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {2},
     year = {1991},
     pages = {307-315},
     zbl = {0756.93034},
     mrnumber = {1152637},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1991_9_2_4_307_0}
}

Triggiani, Roberto. Regularity of wave and plate equations with interior point control. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 2 (1991) pp. 307-315. http://gdmltest.u-ga.fr/item/RLIN_1991_9_2_4_307_0/

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[8] Triggiani, R., Regularity with interior point control. Part I: Wave equations and Euler-Bernoulli equations. Lecture notes in mathematics, Spinger-Verlag, to appear. | Zbl 0800.93596

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[10] Triggiani, R., Regularity with interior point control. Part III: Schrödinger equations. J. Mathem. Analysis & Applic., to appear. | Zbl 0800.93596