Geodesic
Parabolic regularization of differential inclusions and the stop operator
Pavel Krejcí1 ; Jürgen Sprekels2
1Academy of Sciences, Praha, Czech Republic
2Angewandte Analysis und Stochastik, Berlin, Germany
Interfaces and free boundaries, Tome 4 (2002) no. 4, pp. 423-435

Voir la notice de l'article provenant de la source EMS Press

DOI

Parabolic differential inclusions with convex constraints in a finite-dimensional space are considered with a small 'diffusion' coefficient [egr] at the elliptic term. This problem arises for instance in multicomponent phase-field systems. We prove the strong convergence of solutions as [egr] [rarr] 0 to the solution of the singular limit equation and show the connection to elementary hysteresis operators.
DOI : 10.4171/ifb/68
Classification : 46-XX, 60-XX
Mots-clés : Parabolic differential inclusion; singular limit; hysteresis operators; penalty approximation

Pavel Krejcí  1   ; Jürgen Sprekels  2

1 Academy of Sciences, Praha, Czech Republic
2 Angewandte Analysis und Stochastik, Berlin, Germany 
Pavel Krejcí; Jürgen Sprekels. Parabolic regularization of differential inclusions and the stop operator. Interfaces and free boundaries, Tome 4 (2002) no. 4, pp. 423-435. doi: 10.4171/ifb/68
@article{10_4171_ifb_68,
     author = {Pavel Krejc{\'\i} and J\"urgen Sprekels},
     title = {Parabolic regularization of differential inclusions and the stop operator},
     journal = {Interfaces and free boundaries},
     pages = {423--435},
     year = {2002},
     volume = {4},
     number = {4},
     doi = {10.4171/ifb/68},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/68/}
}
TY  - JOUR
AU  - Pavel Krejcí
AU  - Jürgen Sprekels
TI  - Parabolic regularization of differential inclusions and the stop operator
JO  - Interfaces and free boundaries
PY  - 2002
SP  - 423
EP  - 435
VL  - 4
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ifb/68/
DO  - 10.4171/ifb/68
ID  - 10_4171_ifb_68
ER  - 
%0 Journal Article
%A Pavel Krejcí
%A Jürgen Sprekels
%T Parabolic regularization of differential inclusions and the stop operator
%J Interfaces and free boundaries
%D 2002
%P 423-435
%V 4
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/68/
%R 10.4171/ifb/68
%F 10_4171_ifb_68

Cité par Sources :