Geodesic
Quasilinear hyperbolic equations with hysteresis
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 15 (2004) no. 3-4, pp. 235-247

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Zbl   MR

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. 
Visintin, Augusto. Quasilinear hyperbolic equations with hysteresis. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 15 (2004) no. 3-4, pp. 235-247. http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_3-4_a6/
@article{RLIN_2004_9_15_3-4_a6,
     author = {Visintin, Augusto},
     title = {Quasilinear hyperbolic equations with hysteresis},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {235--247},
     year = {2004},
     volume = {Ser. 9, 15},
     number = {3-4},
     zbl = {1162.35424},
     mrnumber = {MR2148882},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_3-4_a6/}
}
TY  - JOUR
AU  - Visintin, Augusto
TI  - Quasilinear hyperbolic equations with hysteresis
JO  - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
PY  - 2004
SP  - 235
EP  - 247
VL  - 15
IS  - 3-4
UR  - http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_3-4_a6/
LA  - en
ID  - RLIN_2004_9_15_3-4_a6
ER  - 
%0 Journal Article
%A Visintin, Augusto
%T Quasilinear hyperbolic equations with hysteresis
%J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
%D 2004
%P 235-247
%V 15
%N 3-4
%U http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_3-4_a6/
%G en
%F RLIN_2004_9_15_3-4_a6