5 citations · 7 across the 9 of their papers we have counts for
8 papers · 1 filter
Observability Inequality from Measurable Sets and the Stackelberg-Nash Game Problem for Degenerate Parabolic Equations
Yuanhang Liu, Weijia Wu, Donghui Yang +1
In this study, we employ the established Carleman estimates and propagation estimates of smallness from measurable sets for real analytic functions, along with the telescoping seri…
A uniform bound on costs of controlling semilinear heat equations on a sequence of increasing domains and its application
Lijuan Wang, Can Zhang
In this paper, we first prove a uniform upper bound on costs of null controls for semilinear heat equations with globally Lipschitz nonlinearity on a sequence of increasing domains…
Minimal time impulse control of the heat equation
Yueliang Duan, Lijuan Wang, Can Zhang
The paper is concerned with a kind of minimal time control problem for the heat equation with impulse controls. The purpose of such a problem is to find an optimal impulse control…
Interpolation inequality at one time point for parabolic equations with time-independent coefficients and applications
Huaiqiang Yu, Can Zhang
In this paper, we study the Hölder-type interpolation inequality and observability inequality from measurable sets in time for parabolic equations either with L^p unbounded potenti…
Observable set, observability, interpolation inequality and spectral inequality for the heat equation in
Gengsheng Wang, Ming Wang, Can Zhang +1
This paper studies connections among observable sets, the observability inequality, the Hölder-type interpolation inequality and the spectral inequality for the heat equation in $\…
Observability inequalities on measurable sets for the Stokes system and applications
Felipe W. Chaves-Silva, Diego A. Souza, Can Zhang
In this paper, we establish spectral inequalities on measurable sets of positive Lebesgue measure for the Stokes operator, as well as an observability inequalities on space-time me…