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In this paper, we are concerned with divergence form, higher-order parabolic systems in a cylindrical domain with a finite number of subdomains. We establish L_ and Schauder estimates of solutions when the leading coefficients and the non-homogeneous term exhibit piecewise Dini mean oscillation and piecewise H\"older continuity, respectively. To the best of our knowledge, our results are new for higher-order elliptic and parabolic systems.
Dong et al. (Wed,) studied this question.