Rothe's method for nonlinear parabolic variational inequalities in noncylindrical domains

Abstract

In this paper, a nonlinear parabolic variational inequality in noncylindrical domain is considered. Using extended Rothe’s method recently achieved in [11] an approximate solution is constructed. Existence and uniqueness results are proved. Also, we present some further results and comments related to the main result. Mathematics subject classification (2010): 65N40, 35K20.