Schauder estimates for an integro-differential equation with   applications to a nonlocal Burgers equation
  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}. 
Cyril Imbert, Tianling Jin, Roman Shvydkoy
math.AP