Schauder estimates for higher-order parabolic systems with time irregular coefficients |
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Authors: | Hongjie Dong Hong Zhang |
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Affiliation: | 1.Division of Applied Mathematics,Brown University,Providence,USA |
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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 a half space. We also provide an existence result for the 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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