Hölder regularity for nondivergence nonlocal parabolic equations

DOI10.1007/S00526-018-1367-1zbMath1395.35118arXiv1610.10073OpenAlexW2963642094MaRDI QIDQ1656500

Mark G. Allen

Publication date: 10 August 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.10073

zbMATH Keywords

fractional derivativesHölder regularitynonlocal parabolic equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Integro-ordinary differential equations (45J05) Integro-partial differential equations (45K05) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (8)

Critical parameters for reaction-diffusion equations involving space-time fractional derivatives ⋮ Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel ⋮ Qualitative properties of solutions for dual fractional nonlinear parabolic equations ⋮ Time fractional gradient flows: Theory and numerics ⋮ Nonlocal time porous medium equation with fractional time derivative ⋮ One-sided fractional derivatives, fractional Laplacians, and weighted Sobolev spaces ⋮ Some free boundary problems recast as nonlocal parabolic equations ⋮ Uniqueness for weak solutions of parabolic equations with a fractional time derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A parabolic problem with a fractional time derivative
• Regularity for parabolic integro-differential equations with very irregular kernels
• Porous medium flow with both a fractional potential pressure and fractional time derivative
• On the differentiability of the solution to the Hamilton-Jacobi equation with critical fractional diffusion
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Elliptic partial differential equations of second order
• A nondivergence parabolic problem with a fractional time derivative.
• Chaos, fractional kinetics, and anomalous transport
• Maximum principles, extension problem and inversion for nonlocal one-sided equations
• Regularity for solutions of non local parabolic equations
• Integro-Differential equations with nonlinear directional dependence
• Regularity theory for fully nonlinear integro-differential equations
• On the regularity theory of fully nonlinear parabolic equations: I
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Hölder regularity for nondivergence nonlocal parabolic equations