3 papers
math.AP2026
Unique inversion of smooth nonlinearity in semilinear wave equations on Lorentzian manifolds
Xi Chen, Shuai Lu, Ruochong Zhang
We study the recovery of a smooth nonlinearity in semilinear wave equations on globally hyperbolic Lorentzian manifolds. Our approach combines higher-order linearization with disto…
math.AP2025
Inverse problem for connections in semi-linear wave equations on Lorentzian manifolds
Lauri Oksanen, Ruochong Zhang
This paper recovers Hermitian connections of semi-linear wave equations with cubic nonlinearity. The main novelty is in the geometric generality: we treat the case of an arbitrary…
math.AP2025
Stable inversion of potential in nonlinear wave equations with cubic nonlinearity
Xi Chen, Shuai Lu, Ruochong Zhang
This paper investigates inverse potential problems of wave equations with cubic nonlinearity. We develop a methodology for establishing stability estimates for inversion of lower o…