11 citations · 69 across the 30 of their papers we have counts for
32 papers
Bounds of singular sets for elliptic equations in domains with singular potentials
Zhiwei Wang, Jiuyi Zhu
We study the quantitative codimension-two estimate for the singular set in the boundary neighborhoods of the solutions of \begin{equation*} Δu+V(x)u=0\qquad\text{in }Ω, \qquad u=0\…
Quantitative uniqueness for bi-Laplace equations with potentials
Long Teng, Zhiwei Wang, Jiuyi Zhu
We study quantitative unique continuation for bi-Laplace equations \[Δ^{2}u+V(x)u=0 \] by introducing some new weighted frequency functions. We establish quantitative three-ball in…
Quantitative unique continuation for elliptic equations with Hölder continuous potentials
Long Teng, Zhiwei Wang, Jiuyi Zhu
We study quantitative unique continuation for second order elliptic equations with lower-order terms of Hölder regularity via a weighted frequency function method. We establish qua…
Upper bounds of nodal sets for solutions of bi-Laplace equations: II
Jiuyi Zhu
We investigate the upper bounds of nodal sets for solutions of bi-Laplace equations without using frequency functions which play an essential role in the study of nodal sets in the…
Quantitative unique continuation for Neumann problem in planar domains
Yingying Cai, Jiuyi Zhu, Jinping Zhuge
In this paper, we study the quantitative unique continuation property of the second-order elliptic operators under the vanishing Neumann boundary condition over or convex…
Spectral inequalities for Schrödinger equations and quantitative propagation of smallness in the plane
Eugenia Malinnikova, Jiuyi Zhu
This paper deals with spectral inequalities for one-dimensional Schrödinger operators with potentials bounded between two increasing functions (weights). The spectral inequality al…