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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