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arXiv · 1307.5013

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

Hongjie Dong·Hong Zhang
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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 Hölder continuous in the spatial variables.

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Hongjie Dong, Hong Zhang. 2013-07-18. The Schauder estimates for higher-order parabolic systems with time irregular coefficients. https://arxiv.org/abs/1307.5013

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