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arxiv: 1508.05410 · v1 · pith:ZE5VJWOXnew · submitted 2015-08-21 · 🧮 math.AP

An integro-differential equation without continuous solutions

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keywords alphaequationintegro-differentialcomparablecontinuousestimatesevenexample
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We show an example of a non-symmetric integro-differential equation of order $\alpha$, for $\alpha \in (0,1)$, for which H\"older estimates do not hold even though the kernels are comparable to the fractional Laplacian.

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