Quasilinear hyperbolic equations with hysteresis

Visintin, Augusto

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 15 (2004), p. 235-247 / Harvested from Biblioteca Digitale Italiana di Matematica

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Résumé

Hysteresis operators are illustrated, and a weak formulation is studied for an initial- and boundary-value problem associated to the equation $(\partial^{2} / \partial t^{2}) [u + F (u)] + A u = f$ ; here $F$ is a (possibly discontinuous) hysteresis operator, $A$ is a second order elliptic operator, $f$ is a known function. Problems of this sort arise in plasticity, ferromagnetism, ferroelectricity, and so on. In particular an existence result is outlined.

Publié le : 2004-12-01

MR 2148882 | Zbl 1162.35424

@article{RLIN_2004_9_15_3-4_235_0,
     author = {Augusto Visintin},
     title = {Quasilinear hyperbolic equations with hysteresis},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {15},
     year = {2004},
     pages = {235-247},
     zbl = {1162.35424},
     mrnumber = {2148882},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_2004_9_15_3-4_235_0}
}

Visintin, Augusto. Quasilinear hyperbolic equations with hysteresis. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 15 (2004) pp. 235-247. http://gdmltest.u-ga.fr/item/RLIN_2004_9_15_3-4_235_0/

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