colloquium

This talk concerns an inverse source problem for the biharmonic wave equation. Mathematically, we characterize the radiating and non-radiating sources at a fixed wavenumber. We also derive a Lipschitz stability estimate to determine the radiating source. Numerically, we propose a source reconstruction method based on the Fourier series expansion by multi-frequency boundary measurements. The stability of the proposed method is analyzed and numerical experiments are presented to verify the accuracy and robustness.