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20192026
most citedUniqueness and stability of an inverse problem for a semi-linear wave equation

14 citations · 32 across the 12 of their papers we have counts for

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math.FA2026

Optimal stability of regularized spectral differentiation in Sobolev spaces

Teemu Tyni

We study the problem of stable spectral differentiation of functions in Sobolev spaces from noisy data. We introduce a class of admissible Fourier multipliers under simple and dire…

math.AP2026

Reconstruction for an inverse scattering problem with a Kerr type nonlinearity

Khaoula El Maddah, Matti Lassas, Tony Liimatainen +2

We study the inverse scattering problem for the Kerr-nonlinear Helmholtz equation \[ Δu + k^2(1+q(x)|u|^2)u = 0 \quad \text{in }\mathbb{R}^n,\; n\geq 2, \] where the aim is to reco…