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math.AP2025
Sampling methods for the inverse cavity scattering problem of biharmonic waves
Isaac Harris, Peijun Li, General Ozochiawaeze
This paper addresses the inverse problem of qualitatively recovering a clamped cavity in a thin elastic plate using far-field measurements. We present a strengthened analysis of th…
math.PR2025
An inverse potential problem for the stochastic heat equation with space-time noise
Peijun Li, Xiangchan Zhu, Yichun Zhu
This paper investigates an inverse potential problem for the stochastic heat equation driven by space-time Gaussian noise, which is spatially colored and temporally white. The obje…