Naian Liao

activity

20132026

most citedA Boundary Estimate for Singular Parabolic Diffusion Equations

11 citations · 41 across the 27 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.AP2025

Nonnegative solutions to nonlocal parabolic equations

Naian Liao, Marvin Weidner

We aim to study nonnegative, global solutions to a general class of nonlocal parabolic equations with bounded measurable coefficients. First, we prove a Widder-type theorem. Such a…

math.AP2025

Gradient estimates for the fractional $p$ -Poisson equation

Verena Bögelein, Frank Duzaar, Naian Liao +1

We consider local weak solutions to the fractional $p$ -Poisson equation of order $s$ , i.e. $(- Δ_{p})^{s} u = f$ . In the range $p > 1$ and $s \in (\frac{p - 1}{p}, 1)$ we…

math.AP2025

Local boundedness and higher integrability for the sub-critical singular porous medium system

Verena Bögelein, Frank Duzaar, Ugo Gianazza +1

The gradient of weak solutions to porous medium-type equations or systems possesses a higher integrability than the one assumed in the pure notion of a solution. We settle the crit…

Nonnegative solutions to nonlocal parabolic equations

Gradient estimates for the fractional p-Poisson equation

Local boundedness and higher integrability for the sub-critical singular porous medium system

Gradient estimates for the fractional $p$ -Poisson equation