Stability estimates for the recovery of the nonlinearity from scattering data

Gong Chen; Jason Murphy

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arXiv · 2305.06170

Stability estimates for the recovery of the nonlinearity from scattering data

Gong Chen·Jason Murphy

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Abstract

We prove stability estimates for the problem of recovering the nonlinearity from scattering data. We focus our attention on nonlinear Schr\"odinger equations of the form \[ (i\partial_t+\Delta)u = a(x)|u|^p u \] in three space dimensions, with $p\in[\tfrac43,4]$ and $a\in W^{1,\infty}$.

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Gong Chen, Jason Murphy. 2023-05-10. Stability estimates for the recovery of the nonlinearity from scattering data. https://arxiv.org/abs/2305.06170

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