Hua-Yang Wang

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math.AP2026

Optimal Weighted Smoothing and Asymptotics of Ancient Solutions for Fast Diffusion Equations

Beomjun Choi, Xiqin Jiang, Hua-Yang Wang +1

The Cauchy--Dirichlet problem for the fast diffusion equation on a smooth bounded domain admits a natural bound in the weighted space $L_{I^¦_{1}}^{p}$ , where $I^¦_{1}$ is the first Dirich…

math.AP2026

A duality approach to gradient HÃ¶lder estimates for linear divergence form elliptic equations

Olli Saari, Yuanlin Sun, Hua-Yang Wang +1

We prove a sparse bound in the context of Schauder theory for divergence form elliptic partial differential equations. In addition, we show how an iteration argument inspired by sp…

math.AP2024

Sparse gradient bounds for divergence form elliptic equations

Olli Saari, Hua-Yang Wang, Yuanhong Wei

We provide sparse estimates for gradients of solutions to divergence form elliptic partial differential equations in terms of the source data. We give a general result of Meyers (o…