The Schauder estimates for higher-order parabolic systems with time irregular coefficients
Abstract
We prove Schauder estimates for solutions to both divergence and non-divergence type higher-order parabolic systems in the whole space and the half space. We also provide an existence result for divergence type systems in a cylindrical domain. All coefficients are assumed to be only measurable in the time variable and H\"older continuous in the spatial variables.
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