3 papers
math.AP2026
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…
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…
math.AP2023
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…