3 papers
math.AP2025
Approximation of Elliptic Equations with Interior Single-Point Degeneracy and Its Application to Weak Unique Continuation Property
Weijia Wu, Yaozhong Hu, Donghui Yang +1
This paper investigates the quantitative weak unique continuation property (QWUCP) for a class of high-dimensional elliptic equations with interior point degeneracy. First, we esta…
math.OC2023
Carleman estimates for degenerate parabolic equations with single interior point degeneracy and its applications
Yuanhang Liu, Yaozhong Hu, Weijia Wu +1
We study the controllability of a class of -dimensional degenerate parabolic equations with single interior point degeneracy. We employ the Galerkin method to prove the existenc…
math.AP2023
Null controllability of n-dimensional parabolic equations degenerated on partial boundary
Weijia Wu, Yaozhong Hu, Hongli Sun +1
This paper extends the Carleman estimates to high dimensional parabolic equations with highly degenerate symmetric coefficients on a bounded domain of Lipschitz boundary and use th…