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math.AP2023
On inverse problems for a strongly damped wave equation on compact manifolds
Li Li, Yang Zhang
We consider a strongly damped wave equation on compact manifolds, both with and without boundaries, and formulate the corresponding inverse problems. For closed manifolds, we prove…
math.AP2023
Inverse problems for a quasilinear strongly damped wave equation arising in nonlinear acoustics
Li Li, Yang Zhang
We consider inverse problems for a Westervelt equation with a strong damping and a time-dependent potential . We first prove that all boundary measurements, including the initia…
math.AP2023★ 1 cited
Nonlinear acoustic imaging with damping
Yang Zhang
In this paper, we consider an inverse problem for a nonlinear wave equation with a damping term and a general nonlinear term. This problem arises in nonlinear acoustic imaging and…