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arxiv: 1604.07377 · v1 · pith:KKYOJZGAnew · submitted 2016-04-25 · 🧮 math.AP

Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation

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keywords equationestimatesburgersintegro-differentialschauderapplicationsappliedcite
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We obtain Schauder estimates for a general class of linear integro-differential equations. The estimates are applied to a scalar non-local Burgers equation and complete the global well-posedness results obtained in \cite{ISV}.

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