Holder Regularity for Nondivergence nonlocal parabolic equations

Mark Allen

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arXiv · 1610.10073

Holder Regularity for Nondivergence nonlocal parabolic equations

Mark Allen

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Abstract

This paper proves H\"older 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 H\"older continuous.

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Mark Allen. 2016-10-31. Holder Regularity for Nondivergence nonlocal parabolic equations. https://arxiv.org/abs/1610.10073

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