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arXiv · 1405.0755

Schauder estimates for solutions of linear parabolic integro-differential equations

Tianling Jin·Jingang Xiong
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Abstract

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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Tianling Jin, Jingang Xiong. 2014-05-05. Schauder estimates for solutions of linear parabolic integro-differential equations. https://doi.org/10.3934/dcds.2015.35.5977

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