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PreprintCC BY 4.0HAL

Determination of radial nonlocal nonlinearities from the scattering map

  • Luccas Campos
  • Rowan Killip
  • Jason Murphy
  • Monica Visan
Open at sourcePDFCite

Abstract

We show that the small-data scattering map uniquely determines the nonlinearity for a class of nonlinear Schrödinger 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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Cite

BibTeXRIS
BibTeX
@misc{campos2026determination,
  title = {{Determination of radial nonlocal nonlinearities from the scattering map}},
  author = {Luccas Campos and Rowan Killip and Jason Murphy and Monica Visan},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  eprint = {2606.06729},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05770079v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Determination of radial nonlocal nonlinearities from the scattering map
AU  - Luccas Campos
AU  - Rowan Killip
AU  - Jason Murphy
AU  - Monica Visan
PY  - 2026
DA  - 2026/09/29
PB  - HAL
UR  - https://hal.science/hal-05770079v1
AB  - We show that the small-data scattering map uniquely determines the nonlinearity for a class of nonlinear Schrödinger 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.
ER  -