Study of weak solutions for degenerate parabolic inequalities with nonstandard conditions

Abstract

Abstract In this paper, we study the degenerate parabolic variational inequalities in a bounded domain. By solving a series of penalty problems, the existence and uniqueness of the solutions in the weak sense are proved by the energy method and a limit process.

Keywords

• Parabolic variational inequality
• Weak solution
• Penalty problem
• Existence
• Uniqueness