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math.AP2024
Inverse problems for a quasilinear hyperbolic equation with multiple unknowns
Yan Jiang, Hongyu Liu, Tianhao Ni +1
We propose and study several inverse boundary problems associated with a quasilinear hyperbolic equation of the form on a compact…
math.AP2024
A uniqueness theory on determining the nonlinear energy potential in phase-field system
Tianhao Ni, Jun Lai
The phase-field system is a nonlinear model that has significant applications in material sciences. In this paper, we are concerned with the uniqueness of determining the nonlinear…
math.AP2023
Inverse problems for nonlinear progressive waves
Yan Jiang, Hongyu Liu, Tianhao Ni +1
We propose and study several inverse problems associated with the nonlinear progressive waves that arise in infrasonic inversions. The nonlinear progressive equation (NPE) is of a…