ON EXTENDED ROTHE’S METHOD FOR NONLINEAR PARABOLIC VARIATIONAL INEQUALITIES IN NONCYLINDRICAL DOMAINS

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Abstract
In this paper, some nonlinear parabolic variational inequalities in noncylindrical domains are considered. Using extended Rothe's method introduced and developed in [10] an approximate solution is constructed. Existence and uniqueness results are proved. Moreover, we present some further results and comments related to the main result.