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Hölder regularity for nondivergence nonlocal parabolic equations

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Abstract

This paper proves Hölder 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 proves Hölder continuity for viscosity solutions to certain nonlinear ordinary differential equations involving the generalized fractional time derivative.

Mathematics Subject Classification

35K55 35R09 35R11 45J05 45K05 

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsBrigham Young UniversityProvoUSA

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