An Inverse Random Source Problem for the Biharmonic Wave Equation

This paper is concerned with an inverse source problem for the stochastic biharmonic wave equation. The driven assumed to be a microlocally isotropic Gaussian random field its covariance operator being classical pseudo-differential operator. well-posedness of direct examined in distribution sense, and regularity solution discussed given rough source. For problem, strength source, involved principal symbol operator, shown uniquely determined by single realization magnitude averaged over frequency band probability one. Numerical experiments are presented illustrate validity effectiveness proposed method case that white noise.