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PreprintCC BY 4.0arXiv

Transference theory for the trilinear restriction estimate and an application to the quadratic NLS in 3D

  • Ioan Bejenaru
  • Vitor Borges
  • Tiklung Chan
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Abstract

In this article we develop a theory for effectively transferring trilinear restriction estimates for the Schrödinger equation to functions in a more general resolution space adapted to the Schrödinger equation. As an application we provide a global theory for the quadratic NLS in three spatial dimensions in the critical Sobolev space Ḣ−1/2.

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Cite

BibTeXRIS
BibTeX
@misc{bejenaru2026transference,
  title = {{Transference theory for the trilinear restriction estimate and an application to the quadratic NLS in 3D}},
  author = {Ioan Bejenaru and Vitor Borges and Tiklung Chan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22237},
  eprint = {2610.22237},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22237},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Transference theory for the trilinear restriction estimate and an application to the quadratic NLS in 3D
AU  - Ioan Bejenaru
AU  - Vitor Borges
AU  - Tiklung Chan
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22237
UR  - https://arxiv.org/abs/2610.22237
AB  - In this article we develop a theory for effectively transferring trilinear restriction estimates for the Schrödinger equation to functions in a more general resolution space adapted to the Schrödinger equation. As an application we provide a global theory for the quadratic NLS in three spatial dimensions in the critical Sobolev space Ḣ^−1/2.
ER  -