One-Dimensional Stochastic Wave Equations Driven by Poisson White Noise

2021 ◽  
Vol 11 (04) ◽  
pp. 552-561
Author(s):  
本萱 苗
Keyword(s):  
White Noise ◽  
Wave Equations ◽  
Poisson White Noise ◽  
One Dimensional ◽  
Stochastic Wave Equations

scholarly journals Identification of the Point Sources in Some Stochastic Wave Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Yaozhong Hu ◽  
Guanglin Rang
Keyword(s):  
Point Source ◽  
Existence And Uniqueness ◽  
Wave Equations ◽  
Point Sources ◽  
Uniqueness Problem ◽  
One Dimensional ◽  
Stochastic Wave Equations ◽  
Dimensional Wave

We introduce and study a type of (one-dimensional) wave equations with noisy point sources. We first study the existence and uniqueness problem of the equations. Then, we assume that the locations of point sources are unknown but we can observe the solution at some other location continuously in time. We propose an estimator to identify the point source locations and prove the convergence of our estimator.

Transition path properties for one-dimensional systems driven by Poisson white noise

2020 ◽  
Vol 141 ◽  
pp. 110293
Author(s):  
Hua Li ◽  
Yong Xu ◽  
Ralf Metzler ◽  
Jürgen Kurths
Keyword(s):  
White Noise ◽  
Transition Path ◽  
Poisson White Noise ◽  
One Dimensional ◽  
Path Properties
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