Special Session 127: Recent Advances in Inverse Problems, Imaging, and Their Applications
Inverse random potential scattering for stochastic polyharmonic wave equations
Guanlin Yang
Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Peoples Rep of China
Co-Author(s):    Guanlin Yang
Abstract:
In this talk, we mainly discuss the uniqueness of the inverse scattering problem for the random potential involved in stochastic polyharmonic wave equations. The random potential is assumed to be an isotropic generalized Gaussian random field. With limited measurements, we show the unique determination of the correlation strength of the random potential through a single realization of the scattered wave field averaged over the frequency band.
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