English

A Nondivergence Parabolic Problem with a Fractional Time derivative

Analysis of PDEs 2017-05-05 v2

Abstract

We study a nonlocal nonlinear parabolic problem with a fractional time derivative. We prove a Krylov-Safonov type result; mainly, we prove Holder regularity of solutions. Our estimates remain uniform as the order of the fractional time derivative approaches 1.

Keywords

Cite

@article{arxiv.1507.04324,
  title  = {A Nondivergence Parabolic Problem with a Fractional Time derivative},
  author = {Mark Allen},
  journal= {arXiv preprint arXiv:1507.04324},
  year   = {2017}
}

Comments

Final version accepted for publication in Differential and Integral Equations

R2 v1 2026-06-22T10:12:35.247Z