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arxiv: 1405.0755 · v3 · pith:DRMOS2V2new · submitted 2014-05-05 · 🧮 math.AP

Schauder estimates for solutions of linear parabolic integro-differential equations

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keywords estimatesequationsintegro-differentiallinearoptimalparabolicschaudersolutions
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We prove optimal pointwise Schauder estimates in the spatial variables for solutions of linear parabolic integro-differential equations. Optimal H\"older estimates in space-time for those spatial derivatives are also obtained.

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