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- ItemStability of Weak Solutions to Parabolic Problems with Nonstandard Growth and Cross–Diffusion(Basel : MDPI, 2021) Erhardt, André H.We study the stability of a unique weak solution to certain parabolic systems with nonstandard growth condition, which are additionally dependent on a cross-diffusion term. More precisely, we show that two unique weak solutions of the considered system with different initial values are controlled by their initial values.