This article is cited in 1 paper

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

G. Kulieva^a, K. Kuliev<sup>b

a</sup> Samarkand branch of Tashkent University of Informational Technology, 47 Shohruh Mirzo, Samarkand 140100, Uzbekistan
^b Samarkand State University, 15 University Boulevard, Samarkand 140104, Uzbekistan

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.

Keywords and phrases: parabolic variational inequalities, parabolic PDE, numerical methods, time-discretization, Rothe's method.

UDC: 65N40, 35K20

Received: 26.03.2019

Language: English

DOI: 10.32523/2077-9879-2020-11-3-51-65

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