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Author

Zhi-Wei Wang

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Preprint Oct 2026

Quantitative uniqueness for bi-Laplace equations with $C^2$ lower-order coefficients

We study quantitative unique continuation for bi-Laplace equations \[ \Delta^2u+W(x)\Delta u+V(x)\cdot\nabla u=0 \] with $C^2$ lower-order coefficients. Using the weighted-frequency function, we establish an $L^\infty$ three-ball inequality whose exponential factor has coefficient dependence $\|W\|_{C^2}^{1/2}+\|V\|_{C...

Zhi-Wei Wang · 0 citations
Preprint Sep 2026

Bounds of singular sets for elliptic equations in $C^{1, Dini}$ domains with singular potentials

We study the quantitative codimension-two estimate for the singular set in the boundary neighborhoods of the solutions of \begin{equation*} \Delta u+V(x)u=0\qquad\text{in }\Omega, \qquad u=0\qquad\text{on }\partial\Omega, \end{equation*} where $\Omega\subset\mathbb R^n$ is a bounded $C^{1,\mathrm{Dini}}$ domain and $V\...

Zhi-Wei Wang, Jiu-Yi Zhu · 1 citation

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