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Existence of solutions for parabolic variational inequalities

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Abstract

In this paper, we are concerned with the study of parabolic variational inequality. Under appropriate assumptions on the main functions, we obtain the existence of weak solutions after the construction of the penalized Young measure by Galerkin’s method and the penalty method. The passage to the limit follows relying on the theory of Young measures.

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  1. Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco

    Farah Balaadich

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  1. Farah Balaadich
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Balaadich, F. Existence of solutions for parabolic variational inequalities. Rend. Circ. Mat. Palermo, II. Ser 73, 731–745 (2024). https://doi.org/10.1007/s12215-023-00947-8

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