Systems of parabolic variational inequalities without initial conditions

• Date: 1997
• Main Authors: Lavrenyuk, S. P., Лавренюк, С. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5029
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a parabolic variational inequality without initial conditions. We construct a class of existence and uniqueness for a solution of this inequality. This class is defined by the exponential decrease or increase of solutions as t→−∞, depending on the coefficients of the inequality.