Geodesic
On extended Rothe's method for nonlinear parabolic variational inequalities in noncylindrical domains
Eurasian mathematical journal, Tome 11 (2020) no. 3, pp. 51-65

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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. 
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     author = {G. Kulieva and K. Kuliev},
     title = {On extended {Rothe's} method for nonlinear parabolic variational inequalities in noncylindrical domains},
     journal = {Eurasian mathematical journal},
     pages = {51--65},
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G. Kulieva; K. Kuliev. On extended Rothe's method for nonlinear parabolic variational inequalities in noncylindrical domains. Eurasian mathematical journal, Tome 11 (2020) no. 3, pp. 51-65. http://geodesic.mathdoc.fr/item/EMJ_2020_11_3_a4/