3 papers
math.AP2026
On passive recovery of structured elastic density and initial states
Yixian Gao, Hongyu Liu, Yang Liu
We study simultaneous recovery of the (variable) mass density, initial displacement, and initial velocity for the three-dimensional isotropic elastic wave equation with known const…
math.AP2025
Stability of inverse boundary value problem for the fourth-order Schrödinger equation
Yang Liu, Yixian Gao
This paper is concerned with the stability of the inverse boundary value problem for the perturbed fourth-order Schrödinger equation in a bounded domain with Cauchy data. We establ…
math.OC2025
Well-posedness and stability of boundary delay equations
Yassine El Gantouh, Yang Liu
In this paper, we introduce the notion of boundary delay equations, establishing a unified framework for analyzing linear time-invariant systems with pure time-delayed boundary con…