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arXiv · 2606.06729

Determination of radial nonlocal nonlinearities from the scattering map

Luccas Campos·Rowan Killip·Jason Murphy·Monica Visan
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Abstract

We show that the small-data scattering map uniquely determines the nonlinearity for a class of nonlinear Schr\"odinger equations with radial, Hartree-type nonlinearities. Our assumptions on the convolution kernel require only a mild decay condition at infinity and permit a locally integrable singularity at the origin.

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Luccas Campos, Rowan Killip, Jason Murphy, Monica Visan. 2026-06-04. Determination of radial nonlocal nonlinearities from the scattering map. https://arxiv.org/abs/2606.06729

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