Forward-backward parabolic equations and hysteresis

Calculus of Variations and Partial Differential Equations

Volumn 15, Issue 1, 2002, Pages 115-132

  Visintin, Augusto ^a  

^a UNIVERSITY OF TRENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036706487     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005260100120     Document Type: Article

References (13)

1. H. Brezis: On some degenerate nonlinear parabolic equations. In: Nonlinear Functional Analysis (F.E. Browder, ed.). Proc. Symp. Pure Math. XVIII. A.M.S., Providence 1970, pp. 28-38
2. H. Brezis: Opéateurs Maximaux Monotones et Semi-Groupes de Contractions dans les Espaces de Hilbert. North-Holland, Amsterdam 1973
3. M. Brokate, J. Sprekels: Hysteresis and Phase Transitions. Springer, Berlin 1996
4. D. Kinderlehrer, P. Pedregal: Weak convergence of integrands and the Young measure representation. S.I.A.M.J. Math. Anal. 23 (1992) 1-19
5. M.A. Krasnosel'skiǐ, A.V. Pokrovskiǐ: Systems with Hysteresis. Springer, Berlin 1989 (Russian ed. Nauka, Moscow 1983)
6. P. Krejčí: Convexity, Hysteresis and Dissipation in Hyperbolic Equations. Gakkotosho, Tokyo 1997
7. P.I. Plotnikov: Equations with alternating direction of parabolicity and the hysteresis effect. Russian Acad. Sci. Dokl. Math. 47 (1993) 604-608
8. P.I. Plotnikov: Passage to the limit with respect to viscosity in an equation with a variable direction of parabolicity. Differential Equations 30 (1994) 614-622
9. p(0, T; B). Ann. Mat. Pura Appl. 146 (1987) 65-96
10. A. Visintin: Differential Models of Hysteresis. Springer, Berlin 1994
11. A. Visintin: Models of Phase Transitions. Birkhäuser, Boston 1996
12. A. Visintin: Models of phase relaxation. Differential and Integral Equations (to appear)
13. A. Visintin: Hyperbolic equations with hysteresis. C.R. Acad. Sci. Paris 332 (2001) Série I, 315-320