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PreprintCC BY-NC-ND 4.0HAL

Global well-posedness for the derivative nonlinear Schrödinger equation on the circle

  • Hajer Bahouri
  • Galina Perelman
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Abstract

We consider the derivative nonlinear Schrödinger equation on the circle, and prove that it is globally well-posed in the Sobolev space H1(TT).

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Cite

BibTeXRIS
BibTeX
@misc{bahouri2026global,
  title = {{Global well-posedness for the derivative nonlinear Schrödinger equation on the circle}},
  author = {Hajer Bahouri and Galina Perelman},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10005},
  eprint = {2609.10005},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05752349v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Global well-posedness for the derivative nonlinear Schrödinger equation on the circle
AU  - Hajer Bahouri
AU  - Galina Perelman
PY  - 2026
DA  - 2026/09/09
PB  - HAL
DO  - 10.48550/arxiv.2609.10005
UR  - https://hal.science/hal-05752349v1
AB  - We consider the derivative nonlinear Schrödinger equation on the circle, and prove that it is globally well-posed in the Sobolev space H^1(TT).
ER  -