4 papers · 1 filter
Shape Design for Degenerate Hyperbolic Equation with Degenerate Boundary and Its Application to Observability
Dong-Hui Yang, Yuanzhi Zhou
In this paper, we study the observability and controllability of a class of degenerate hyperbolic equations with a control region intersecting the degenerate set. Unlike the existi…
Null Controllability for Degenerate Parabolic Equations with Internal Control Applied on a Measurable Subset
Donghui Yang, Mengze Gu, Baozhu Guo +1
This work serves as a continuation of our preceding paper [28]. In that study, we presented a separable variable method to derive the Lebeau-Robbiano spectral inequality for a spec…
Approximation of Degenerate Hyperbolic Equations with Interior Degeneracy and Applications to Controllability
Dong-Hui Yang, Bao-Zhu Guo
In this paper, we establish the existence of solutions for a particular class of degenerate hyperbolic equations. Following this, we approximate these degenerate equations by emplo…
Null Controllability for a Multi-Dimensional Degenerate Parabolic Equation with Degenerated Interior Point
Dong-Hui Yang, Bao-Zhu Guo, Jie Zhong
In this study, we study the null controllability of a multi-dimensional degenerate parabolic equation characterized by a degenerate interior point. The control domain, which is an…