Inverse problems in differential equations constitute a pivotal area in applied mathematics and engineering, where the aim is to deduce unknown parameters or inputs within a differential equation from ...

Check back in Fall 2025. Abstract: Constitutive or material models provide a mathematical description of how solids respond to mechanical stimuli. For example, an isotropic linear elastic constitutive ...

SIAM Journal on Applied Mathematics, Vol. 73, No. 5 (2013), pp. 1811-1829 (19 pages) This paper is concerned with the direct and inverse acoustic or electromagnetic scattering problems by a locally ...

We describe some problems and results for formally determined (not over-determined) inverse (coefficient determination) problems for the perturbed wave equation. The problems have little geometry ...

We demonstrate recent progress in the fractional inverse problems, especially for the famous Calderón type problem, where one tries to determine an unknown coefficient in an anisotropic Schrödinger ...

Vol. 19, No. 3, Special Issue: Integral Equations and Inverse Boundary Value Problems (FALL 2007), pp. 237-260 (24 pages) We study the inverse problem to reconstruct the shape of a three dimensional ...