6 papers · 1 filter
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…
A Shape Design Approximation for Degenerate Partial Differential Equations and Its Application
Bao-Zhu Guo, Dong-Hui Yang, Jie Zhong
In this paper, we focus on two types of degenerate partial differential equations: a degenerate elliptic equation and a degenerate parabolic equation. Significantly, both categorie…
Hidden Boundary Trace Regularity and an Observability Estimate with Interior Remainder for Boundary-Degenerate Hyperbolic Equations
Dong-Hui Yang, Jie Zhong
We study hidden boundary trace regularity for two-dimensional hyperbolic equations with boundary degeneracy governed by $\mcA\vp=-\Div(A\nabla \vp)$, where $A=\diag(1,r^\al)$ and $…
A Class of Degenerate Hyperbolic Equations with Neumann Boundary Conditions and Its Application to Observability
Dong-Hui Yang, Jie Zhong
We establish a mixed observability inequality for a class of degenerate hyperbolic equations on the cylindrical domain with mixed Neumann Dirichlet bo…
Shape Design for a Class of Degenerate Parabolic Equations with Boundary Point Degeneracy and Its Application to Boundary Observability
Donghui Yang, Jie Zhong
We study a class of degenerate parabolic equations with boundary point degeneracy in dimensions N>=2 and investigate the associated boundary observability problem by means of shape…
Shape-Design Approximation for a Class of Degenerate Hyperbolic Equations with a Degenerate Boundary Point and Its Application to Observability
Dong-Hui Yang, Jie Zhong
We study a class of degenerate hyperbolic equations in a bounded domain whose degeneracy occurs at a boundary point. We first develop the weighted functional framework, prove well-…