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

Gulchehra Kulieva)Samarkand branch of Tashkent University of Informational Technology, Shohruh Mirzo 47, Samarkand 140100, UzbekistanKomil Kuliev)Samarkand State University, University Boulevard 15, Samarkand 140104, Uzbekistan
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In this paper, a nonlinear parabolic variational inequality in noncylindrical domain is considered. Using extended Rothe’s method recently achieved in [10] an approximate solution is constructed. Existence and uniqueness results are proved. Also, we present some further results and comments related to the main result.

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