The classical inverse first passage time problem asks whether, for a Brownian motion (Bt)t≥0 and a positive random variable ξ, there exists a barrier b : ℝ₊ → ℝ such that ℙ{Bs > b(s), 0 ≤ s ≤ t} = ℙ{ξ ...

Jadamba, Baasansuren, et al. "Analyzing the Role of Inf-Sup Condition in Inverse Problems for Saddle Point Problems with Applications in Elasticity Imaging." Optimization 69. 12 (2020): 2577--2610.

SIAM Journal on Applied Mathematics, Vol. 67, No. 5 (2007), pp. 1353-1378 (26 pages) The scalar wave inverse source problem (ISP) of determining an unknown radiating source from knowledge of the field ...

Inverse problems in differential operators and spectral theory constitute a vibrant research area where one seeks to determine unknown parameters within differential equations from observed spectral ...