Université 20 aoüt 1955, Skikda, Algeria.
Université Badji Mokhtar, Annaba, Algeria
email: nabilabellal@yahoo.fr
Nabila Bellal
Abstract:
Using the penalty method, we prove the existence of solutions to
nonlinear parabolic unilateral problems with an obstacle depending on time.
To find a solution, the original inequality is transformed into an
equality by adding a positive function on the right-hand side and a
complementary condition. This result can be seen as a generalization of
the results by Mokrane in [11] where the obstacle is zero.
Submitted March 23, 2014. Published October 27, 2014.
Math Subject Classifications: 35K86, 35R35, 49J40.
Key Words: Parabolic variational inequalities; Leray-Lions operator;
penalization; existence theorem.
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Nabila Bellal Université 20 aoüt 1955, Skikda, Algeria. Université Badji Mokhtar, Annaba, Algeria email: nabilabellal@yahoo.fr |
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