March/April 2018 A nondivergence parabolic problem with a fractional time derivative
Mark Allen
Differential Integral Equations 31(3/4): 215-230 (March/April 2018). DOI: 10.57262/die/1513652424

Abstract

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

Citation

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Mark Allen. "A nondivergence parabolic problem with a fractional time derivative." Differential Integral Equations 31 (3/4) 215 - 230, March/April 2018. https://doi.org/10.57262/die/1513652424

Information

Published: March/April 2018
First available in Project Euclid: 19 December 2017

zbMATH: 06837095
MathSciNet: MR3738196
Digital Object Identifier: 10.57262/die/1513652424

Subjects:
Primary: 35K55 , 35R11

Rights: Copyright © 2018 Khayyam Publishing, Inc.

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Vol.31 • No. 3/4 • March/April 2018
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