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 Serie 9 15 (2004), fasc. n.3-4, p. 235-247, (English)
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Hysteresis operators are illustrated, and a weak formulation is studied for an initial- and boundary-value problem associated to the equation $(\partial ^{2} / \partial t^{2}) \left[ u + \mathcal{F} (u) \right] + A u = f$; here $\mathcal{F}$ 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.
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Con il contributo del Ministero per i Beni e le Attività Culturali