16 citations · 16 across the 5 of their papers we have counts for
9 papers
A lower bound on
Tony J. Puthenpurakal
Let be a Noetherian local ring and let be an ideal in . Let be the analytic spread of . Let $G_I(A) = \bigoplus_{n \geq…
Null Controllability of a Stochastic Parabolic Equation with a Space-Dependent Analytic Noise Coefficient
Qi Lü, Yu Wang
We consider a stochastic parabolic equation on the -dimensional flat torus , , whose only control acts in the drift. Th…
Stability Estimates for the Inverse Recovery of Drift and Diffusion Point Sources in Stochastic Parabolic Equations
Yu Wang, Qi Lü
This paper studies the simultaneous recovery of point-source locations and temporal strengths in both the drift and diffusion terms of a stochastic parabolic equation with Neumann…
A Geometric Inverse Source Problem for Stochastic Parabolic Equations
Yunzhang Li, Qi Lü, Meizhi Qian +1
This paper addresses the geometric inverse problem of simultaneously recovering two unknown deterministic source supports in a stochastic parabolic equation, where one source appea…
Exact Controllability for Stochastic First-Order Multi-Dimensional Hyperbolic Systems
Zengyu Li, Qi Lü, Yu Wang +1
This paper investigates the exact controllability problem for multi-dimensional stochastic first-order symmetric hyperbolic systems with control inputs acting in two distinct ways:…
An Inverse Source Problem for Semilinear Stochastic Hyperbolic Equations
Qi Lü, Yu Wang
This paper investigates an inverse source problem for general semilinear stochastic hyperbolic equations. Motivated by the challenges arising from both randomness and nonlinearity,…
Inverse problems for stochastic partial differential equations
Qi Lü, Yu Wang
This book aims to provide a brief overview of recent advancements in the theory of inverse problems for stochastic partial differential equations. In order to keep the content conc…
Exact Controllability for a Refined Stochastic Plate Equation
Qi Lü, Yu Wang
A widely used stochastic plate equation is the classical plate equation perturbed by a term of Itô's integral. However, it is known that this equation is not exactly controllable e…
Null controllability for stochastic fourth order parabolic equations
Qi Lü, Yu Wang
We establish the null controllability for linear stochastic fourth order parabolic equations. Utilizing the duality argument, the null controllability is reduced to the observabili…