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math.AP2016
Holder Regularity for Nondivergence nonlocal parabolic equations
Mark Allen
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.…
math.AP2016
Regularity of solutions for a free boundary problem in two dimensions
Mark Allen
We study the regularity of minimizers to the functional \[ J(w)=\int_Ω a^{ij}w_iw_j + Qχ_{\{w>0\}}, \] over a bounded domain and among the class of nonnegative functions in $W^…