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Schauder estimates for higher-order parabolic systems with time irregular coefficients. (English) Zbl 1323.35073

The authors prove Schauder estimates for solutions to higher-order parabolic systems, assuming the principal coefficients of the operators considered to be only measurable in the time variable and Hölder continuous with respect to the spatial variables.

MSC:

35K52 Initial-boundary value problems for higher-order parabolic systems
35J58 Boundary value problems for higher-order elliptic systems
35B45 A priori estimates in context of PDEs
35R05 PDEs with low regular coefficients and/or low regular data

References:

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