3 papers
math.AP2026
Logarithmic Stability for the Inverse Boundary Problem in Three-Dimensional Isotropic Elasticity
Huaian Diao, Umidjon Durdiev
We establish logarithmic stability for the simultaneous recovery of both Lamé parameters in three-dimensional static isotropic elasticity from the full Dirichlet-to-Neumann map. Th…
math.AP2026
Single-Measurement Hölder Stability for a Spatial Coefficient in a Wave Equation with Principal Memory
Huaian Diao, Umidjon Durdiev
We study the recovery of a spatial coefficient in the principal memory flux of a three-dimensional wave equation with the prescribed exponential relaxation kernel , where…
math.AP2026
Unique Determination of the Lamé Parameters in Three Dimensions
Huaian Diao, Umidjon Durdiev
We prove that the full Dirichlet-to-Neumann map for static isotropic elasticity uniquely determines both smooth Lamé parameters in a bounded smooth domain of \(\mathbb R^3\) under…