Nonlinear nonlocal potential theory at the gradient level
The aim of this work is to establish numerous interrelated gradient estimates in the nonlinear
nonlocal setting. First of all, we prove that weak solutions to a class of homogeneous …
nonlocal setting. First of all, we prove that weak solutions to a class of homogeneous …
Gradient estimates for parabolic nonlinear nonlocal equations
The primary objective of this work is to establish pointwise gradient estimates for solutions to
a class of parabolic nonlinear nonlocal measure data problems, expressed in terms of …
a class of parabolic nonlinear nonlocal measure data problems, expressed in terms of …
Pointwise and Oscillation Estimates via Riesz Potentials for Mixed Local and Nonlocal Parabolic Equations
L Ma, Q Xiong, Z Zhang - arXiv preprint arXiv:2407.07600, 2024 - arxiv.org
We establish a class of pointwise estimates for weak solutions to mixed local and nonlocal
parabolic equations involving measure data and merely measurable coefficients via caloric …
parabolic equations involving measure data and merely measurable coefficients via caloric …
H\"{o} lder Continuity for Fully Fractional Parabolic Equations with Space-time Nonlocal Operators
L Ma, Q Xiong, Z Zhang - arXiv preprint arXiv:2406.08795, 2024 - arxiv.org
We study the local H\"{o} lder regularity of weak solutions to the fully fractional parabolic
equations involving spatial fractional diffusion and fractional time derivatives of the …
equations involving spatial fractional diffusion and fractional time derivatives of the …