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most citedPointwise and Oscillation Estimates via Riesz Potentials for Mixed Local and Nonlocal Parabolic Equations

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math.AP2024★ 1 cited

Pointwise and Oscillation Estimates via Riesz Potentials for Mixed Local and Nonlocal Parabolic Equations

Lingwei Ma, Qi Xiong, Zhenqiu Zhang

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…

math.AP2024

Gradient potential estimates for elliptic double obstacle problems with Orlicz growth

Qi Xiong, Zhenqiu Zhang, Lingwei Ma

In this paper,we consider the solutions of the elliptic double obstacle problems with Orlicz growth involving measure data. Some pointwise estimates for the approximable solutions…

math.AP2024

Hölder Continuity for Fully Fractional Parabolic Equations with Space-time Nonlocal Operators

Lingwei Ma, Qi Xiong, Zhenqiu Zhang

We study the local Hölder regularity of weak solutions to the fully fractional parabolic equations involving spatial fractional diffusion and fractional time derivatives of the Mar…

math.AP2024

Riesz potential estimates for double obstacle problems with Orlicz growth

Qi Xiong, Zhenqiu Zhang, Lingwei Ma

In this paper, we consider the solutions to the non-homogeneous double obstacle problems with Orlicz growth involving measure data. After establishing the existence of the solution…

math.AP2024

Liouville type theorems for dual nonlocal evolution equations involving Marchaud derivatives

Yahong Guo, Lingwei Ma, Zhenqiu Zhang

In this paper, we establish a Liouville type theorem for the homogeneous dual fractional parabolic equation \begin{equation} \partial^α_t u(x,t)+(-Δ)^s u(x,t) = 0\ \ \mbox{in}\ \ \…