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math.AP2026
Quantitative Weak Unique Continuation on Annular Domains for Backward Degenerate Parabolic Equations with Degenerate Interior Points
Dong-Hui Yang, Bao-Zhu Guo, Guojie Zheng +1
In this paper, we establish a quantitative weak unique continuation theorem on an annular domain for a backward degenerate parabolic equation with a degenerate interior point. Our…
math.AP2025
Observation estimates for a semilinear heat equation in \mathbb{R}^n
Guojie Zheng, Xin Yu
This paper studies the state observation problems for the semilinear heat equation in R^n. We derive observation estimates for the equation using the logarithmic convexity property…
math.AP2021
Unique continuation inequalities for the parabolic-elliptic chemotaxis system
Gengsheng Wang, Guojie Zheng
This paper studies the quantitative unique continuation for a semi-linear parabolic-elliptic coupled system on a bounded domain. This system is a simplified version of the chemotax…