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.
Show me the PDF file (223 KB), TEX file, and other files for this article.
Nabila Bellal Université 20 aoüt 1955, Skikda, Algeria. Université Badji Mokhtar, Annaba, Algeria email: nabilabellal@yahoo.fr |
Return to the EJDE web page