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arxiv: 1307.5013 · v1 · pith:WBLLFBKInew · submitted 2013-07-18 · 🧮 math.AP

The Schauder estimates for higher-order parabolic systems with time irregular coefficients

classification 🧮 math.AP
keywords systemscoefficientsdivergenceestimateshigher-orderparabolicschauderspace
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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\"{o}lder continuous in the spatial variables.

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