Stability estimates for the recovery of the nonlinearity from scattering data
arXiv (Cornell University)(2023)
摘要
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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关键词
nonlinearity,stability
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