Quasilinear hyperbolic equations with hysteresis
Annales de l'I.H.P. Analyse non linéaire, Tome 19 (2002) no. 4, pp. 451-476.
@article{AIHPC_2002__19_4_451_0,
     author = {Visintin, Augusto},
     title = {Quasilinear hyperbolic equations with hysteresis},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {451--476},
     publisher = {Elsevier},
     volume = {19},
     number = {4},
     year = {2002},
     mrnumber = {1912263},
     zbl = {1027.35076},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_2002__19_4_451_0/}
}
TY  - JOUR
AU  - Visintin, Augusto
TI  - Quasilinear hyperbolic equations with hysteresis
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2002
SP  - 451
EP  - 476
VL  - 19
IS  - 4
PB  - Elsevier
UR  - http://www.numdam.org/item/AIHPC_2002__19_4_451_0/
LA  - en
ID  - AIHPC_2002__19_4_451_0
ER  - 
%0 Journal Article
%A Visintin, Augusto
%T Quasilinear hyperbolic equations with hysteresis
%J Annales de l'I.H.P. Analyse non linéaire
%D 2002
%P 451-476
%V 19
%N 4
%I Elsevier
%U http://www.numdam.org/item/AIHPC_2002__19_4_451_0/
%G en
%F AIHPC_2002__19_4_451_0
Visintin, Augusto. Quasilinear hyperbolic equations with hysteresis. Annales de l'I.H.P. Analyse non linéaire, Tome 19 (2002) no. 4, pp. 451-476. http://www.numdam.org/item/AIHPC_2002__19_4_451_0/

[1] Brokate M., Sprekels J., Hysteresis and Phase Transitions, Springer, Berlin, 1996. | MR | Zbl

[2] Damlamian A., Visintin A., Une généralisation vectorielle du modèle de Preisach pour l'hystérésis, C. R. Acad. Sci. Paris Série I 297 (1983) 437-440. | MR | Zbl

[3] Diperna R.J., Convergence of approximate solutions of conservation laws, Arch. Rational Mech. Anal. 82 (1983) 27-70. | MR | Zbl

[4] Krasnosel'Skiĭ M.A., Pokrovskiĭ A.V., Systems with Hysteresis, Springer, Berlin, 1989, (Russian ed.: Nauka, Moscow, 1983). | MR

[5] Krejčí P., Hysteresis and periodic solutions of semi-linear and quasi-linear wave equations, Math. Z. 193 (1986) 247-264. | MR | Zbl

[6] Krejčí P., Convexity, Hysteresis and Dissipation in Hyperbolic Equations, Gakkotosho, Tokyo, 1997.

[7] Lions J.L., Magenes E., Non-Homogeneous Boundary Value Problems and Applications, Vols. I, II, Springer, Berlin, 1972, (French ed.: Dunod, Paris, 1968). | MR | Zbl

[8] Preisach F., Über die magnetische Nachwirkung, Z. Physik 94 (1935) 277-302.

[9] Triebel H., Interpolation Theory, Function Spaces, Differential Operators, Verlag der Wissenschaften, Berlin, 1978. | MR | Zbl

[10] Visintin A., Differential Models of Hysteresis, Springer, Berlin, 1994. | MR | Zbl

[11] Visintin A., Forward-backward parabolic equations and hysteresis, Differential and Integral Equations 9 (2000) 64-69.

[12] Visintin A., Maxwell's equations with vector hysteresis, Journal of Material Processing and Manufacturing Science (to appear).

[13] Visintin A., Hyperbolic equations with hysteresis, C. R. Acad. Sc. Paris, Série I 332 (2001) 315-320. | MR | Zbl

[14] Visintin A., Maxwell equations with vector hysteresis, in preparation.