68 citations · 147 across the 38 of their papers we have counts for
6 papers · 1 filter
Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right
Jean-Michel Coron, Qi Lü
This paper is devoted to the study of the rapid exponential stabilization problem for a controlled Korteweg-de Vries equation on a bounded interval with homogeneous Dirichlet bound…
Observability Estimate and State Observation Problems for Stochastic Hyperbolic Equations
Qi Lu
In this paper, we derive a boundary and an internal observability inequality for stochastic hyperbolic equations with nonsmooth lower order terms. The required inequalities are obt…
Unique Continuation for Stochastic Heat Equations
Qi Lu, Zhongqi Yin
We establish a unique continuation property for stochastic heat equations evolving in a bounded domain . Our result shows that the value of the solution can be determined unique…
Exact Controllability for Stochastic Schrodinger Equations
Qi Lu
This paper is addressed to studying the exact controllability for stochastic Schrödinger equations by two controls. One is a boundary control in the drift term and the other is an…
Exact Controllability for Stochastic Transport Equations
Qi Lü
This paper is addressed to studying the exact controllability for stochastic transport equations by two controls: one is a boundary control imposed on the drift term and the other…
Carleman Estimates for Parabolic Operators with Discontinuous and Anisotropic Diffusion Coefficients, an Elementary Approach
Qi Lü, Xu Zhang
By using some deep tools from microlocal analysis, J. Le Rousseau and L. Robbiano (Invent. Math., 183 (2011), 245--336) established several Carleman estimates for parabolic operato…