51 citations · 289 across the 43 of their papers we have counts for
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math.AP2018★ 2 cited
Inverse random source problems for time-harmonic acoustic and elastic waves
Jianliang Li, Tapio Helin, Peijun Li
This paper concerns the random source problems for the time-harmonic acoustic and elastic wave equations in two and three dimensions. The goal is to determine the compactly support…
math.AP2018★ 2 cited
An inverse random source problem in a stochastic fractional diffusion equation
Pingping Niu, Tapio Helin, Zhidong Zhang
In this work the authors consider an inverse source problem in the following stochastic fractional diffusion equation $$\partial_t^αu(x,t)+\mathcal{A} u(x,t)=f(x)h(t)+g(x) \dot{\ma…
math.AP2018★ 1 cited
Correlation imaging in inverse scattering is tomography on probability distributions
Pedro Caro, Tapio Helin, Antti Kujanpää +1
Scattering from a non-smooth random field on the time domain is studied for plane waves that propagate simultaneously through the potential in variable angles. We first derive suff…