3 papers
math.AP2026
Well-Posedness of the Helmholtz Equation with Rough Coefficients
Peijun Li, Yichun Zhu
We establish the well-posedness of the Helmholtz equation with rough and compactly supported coefficients in Rd under sharp regularity assumptions. Using a paraproduct calculus in…
math.PR2025
Nonuniqueness in law of stochastic 3d navierstokes equations with general multiplicative noise
Huaxiang Lv, Yichun Zhu
We are concerned with the three dimensional navier-stokes equations driven by a general multiplicative noise. For every divergence free and mean free initial condition in L2, we es…
math.PR2025
An inverse potential problem for the stochastic heat equation with space-time noise
Peijun Li, Xiangchan Zhu, Yichun Zhu
This paper investigates an inverse potential problem for the stochastic heat equation driven by space-time Gaussian noise, which is spatially colored and temporally white. The obje…