5 papers · 1 filter
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…
The solvability and a Stackelberg-Nash game problem for degenerate elliptic equations
Yuanhang Liu, Weijia Wu, Donghui Yang +1
This study aims to investigate the functional properties of weak solution spaces and their compact embedding properties in relation to the Dirichlet problem associated with a speci…
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…