4 citations · 9 across the 22 of their papers we have counts for
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Application of the Shape Design Method to Hidden Regularity of Degenerate Hyperbolic Equations with Degenerate Boundary
Dong-Hui Yang, Hongli Sun
This paper investigates the well-posedness and hidden regularity of boundary-degenerate hyperbolic equations in a two-dimensional setting. The shape design method is employed, whic…
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-…
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…
Extremal properties of the first eigenvalue and the fundamental gap of a sub-elliptic operator
Hongli Sun, Weijia Wu, Donghui Yang
We consider the problems of extreming the first eigenvalue and the fundamental gap of a sub-elliptic operator with Dirichlet boundary condition, when the potential is subjected…
Observability inequality, the interpolation inequality and the spectral inequality for the degenerate parabolic equation in R
Yuanhang Liu, Weijia Wu, Donghui Yang
This paper investigates the interrelationships between the observability inequality, the Hölder-type interpolation inequality, and the spectral inequality for the degenerate parabo…
The fundamental gap of a kind of two dimensional sub-elliptic operator
Hongli Sun, Donghui Yang, Xu Zhang
This paper is concerned at the minimization fundamental gap problem for a class of two-dimensional degenerate sub-elliptic operators. We establish existence results for weak soluti…