A generalized truncation method for multivalued parabolic problems
UKO, Livinus U.
J. Math. Soc. Japan, Tome 50 (1998) no. 4, p. 719-735 / Harvested from Project Euclid
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The generalized truncation method (formerly referred to as the proximal correction method) was recently introduced for the time-discretization of parabolic variational inequalities. The main attraction of the method --- which generalizes the truncation method developed by A. Berger for obstacle problems --- is the fact that the problems to be solved at each time step are elliptic equations rather than elliptic variational inequalities. ¶ In this paper we apply the new method to a class of problems which includes parabolic variational inequalities as a special case. The convergence results which we obtain in this general context also give rise to new results when applied to the special case of variational inequalities. ¶ We also discuss the applications of our results to several problems that occur in various branches of applied Mathematics.
Publié le : 1998-07-15
Classification:  34G20,  35K85,  49J40 
@article{1225113729,
     author = {UKO, Livinus U.},
     title = {A generalized truncation method for multivalued parabolic problems},
     journal = {J. Math. Soc. Japan},
     volume = {50},
     number = {4},
     year = {1998},
     pages = { 719-735},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1225113729}
}

UKO, Livinus U. A generalized truncation method for multivalued parabolic problems. J. Math. Soc. Japan, Tome 50 (1998) no. 4, pp.  719-735. http://gdmltest.u-ga.fr/item/1225113729/