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math.AP2025
Stability for an inverse flux and an inverse boundary coefficient problems
Mourad Choulli, Shuai Lu, Hiroshi Takase
We establish both Lipschitz and logarithmic stability estimates for an inverse flux problem and subsequently apply these results to an inverse boundary coefficient problem. Further…
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…