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math.AP2026
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…
math.AP2026
Exponential stability for the three-dimensional Navier-Stokes equations on negatively curved manifolds
Zhi-Wei Wang, Samuel L. Braunstein
We extend the exponential stability theorem for the three-dimensional incompressible Navier-Stokes equations from hyperbolic 3-space $\HH^3$ (established in a companion paper) to c…
math.AP2026
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 qu…