Existence of solutions to nonlinear parabolic unilateral problems with an obstacle depending on time

Electronic Journal of Differential Equations

卷:2014

Nabila Bellal¹ 

[1] Univ. 20 aout 1955, Skikda, Algerie ;

关键词: Parabolic variational inequalities;    Leray-Lions operator;    penalization;    existence theorem;   

DOI  :  

来源: DOAJ

【 摘 要 】

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 positivefunction on the right-hand side and a complementary condition. This result can be seen as a generalization of the results byMokrane in [11] where the obstacle is zero.

【 授权许可】

Unknown