5 papers
Observability Inequalities for Degenerate Schrödinger Equations via a Shape Approximation Method
Dong-Hui Yang, Hongli Sun, Weijia Wu +1
We study a two-dimensional Schrödinger equation with a boundary degeneracy. More precisely, the diffusion matrix is given by , so that t…
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…
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…
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…