Year: 2026
Type: preprint
Abstract: We study quantitative unique continuation for bi-Laplace equations \[ Δ^2u+W(x)Δu+V(x)\cdot\nabla u=0 \] 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 $\|W\|_{C^2}^{1/2}+\|V\|_{C^2}^{1/3}$. Under some normalization, we obtain a vanishing-order bound of size $C(\|W\|_{C^2}^{1/2}+\|V\|_{C^2}^{1/3})$.
Source: arXiv (Cornell University)
Author: Wang, Zhiwei
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220408702