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Holder Regularity for Nondivergence nonlocal parabolic equations

111   0   0.0 ( 0 )
 Added by Mark Allen
 Publication date 2016
  fields
and research's language is English
 Authors Mark Allen




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This paper proves Holder continuity of viscosity solutions to certain nonlocal parabolic equations that involve a generalized fractional time derivative of Marchaud or Caputo type. As a necessary and preliminary result, this paper first shows that viscosity solutions to certain nonlinear ordinary differential equations involving the generalized fractional time derivative are Holder continuous.



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