Browsing by Author "Lü, Q."
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A lower bound on local energy of partial sum of eigenfunctions for LaplaceBeltrami operators
Lü, Q. (20131231)In this paper, a lower bound is established for the local energy of partial sum of eigenfunctions for LaplaceBeltrami operators (in Riemannian manifolds with low regularity data) with general boundary condition. This ... 
A quantitative boundary unique continuation for stochastic parabolic equations
Li, H.; Lü, Q. (20131231)This paper is addressed to the boundary unique continuation property for forward stochastic parabolic equations, that is, to determine the value of the solution by virtue of the observation on an arbitrary open subset of ... 
Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems
Lü, Q. (20121231)In this paper, we establish a global Carleman estimate for stochastic parabolic equations. Based on this estimate, we study two inverse problems for stochastic parabolic equations. One is concerned with a determination ... 
Null controllability for some systems of two backward stochastic heat equations with one control force
Li, H.; Lü, Q. (20121231)The authors establish the null controllability for some systems coupled by two backward stochastic heat equations. The desired controllability result is obtained by means of proving a suitable observability estimate for ... 
Observability estimate for stochastic Schrödinger equations and its applications
Lü, Q. (20131231)In this paper, we establish a boundary observability estimate for stochastic Schrödinger equations by means of the global Carleman estimate. Our Carleman estimate is based on a new fundamental identity for a stochastic ... 
The L∞null controllability of parabolic equation with equivalued surface boundary conditions
Lü, Q.; Yin, Z. (20131231)In this paper, we obtain the L∞null controllability of the parabolic equation with equivalued surface boundary conditions in Ω×[0,T]. The control is supported in the product of an open subset of Ω and a subset of [0,T] ...