Ke Wu

collaborators

4 papers

math.AP2025

Quantitative stratification for the fractional Allen-Cahn equation and stationary nonlocal minimal surface

Kelei Wang, Juncheng Wei, Ke Wu

We study properties of solutions to the fractional Allen-Cahn equation when $s \in (0, 1/2)$ and dimension $n \geq 2$ . By applying the quantitative stratification principle developed…

math.AP2025

A Liouville theorem for supercritical Fujita equation and its applications

Kelei Wang, Juncheng Wei, Ke Wu

We prove a Liouville theorem for ancient solutions to the supercritical Fujita equation \[\partial_tu-Δu=|u|^{p-1}u, \quad -\infty <t<0, \quad p>\frac{n+2}{n-2},\] which says if $u…

nlin.SI2022

Jack polynomials, $ℏ$ -dependent KP hierarchy and affine Yangian of $gl (1)$

Na Wang, Can Zhang, Ke Wu

In this paper, we discuss the relations between the Jack polynomials, $ℏ$ -dependent KP hierarchy and affine Yangian of $gl (1)$ . We find that $α = ℏ^{2}$ and $h_1=\…

math.AP2020

Classification of Blow-ups and Monotonicity Formula for Half Laplacian Nonlinear Heat Equation

Bin Deng, Yannick Sire, Juncheng Wei +1

We consider the nonlinear half laplacian heat equation $u_{t} + (- Δ)^{\frac{1}{2}} u - ∣ u ∣^{p - 1} u = 0, R^{n} \times (0, T) .$ We prove that all blows-up are type I, provided…

Quantitative stratification for the fractional Allen-Cahn equation and stationary nonlocal minimal surface

A Liouville theorem for supercritical Fujita equation and its applications

Jack polynomials, ℏ-dependent KP hierarchy and affine Yangian of gl(1)

Classification of Blow-ups and Monotonicity Formula for Half Laplacian Nonlinear Heat Equation

Jack polynomials, $ℏ$ -dependent KP hierarchy and affine Yangian of $gl (1)$