colloquium

Stochastic inverse problems refer to inverse problems that involve uncertainties. Compared to deterministic counterparts, stochastic inverse problems are substantially more challenging due to the additional difficulties of randomness and uncertainties. In this talk, our recent progress will be discussed on some stochastic inverse problems for the biharmonic wave equation, which plays an important role in thin plate elasticity. I will present new models for the inverse random source and potential problems. The well-posedness and regularity of the solutions will be addressed for the direct problems. For the inverse problems, I will show that the micro-correlation strength of the random source or potential can be uniquely determined by the high frequency limit of the wave field at a single realization.