English

On the quasilinear Schr\"odinger equations on tori

Analysis of PDEs 2023-09-13 v1

Abstract

We improve the result by Feola and Iandoli [J. de Math. Pures et App., 157:243-281, 2022], showing that quasilinear Hamiltonian Schr\"odinger type equations are well posed on Hs(Td)H^s(\mathbb{T}^d) if s>d/2+3s>d/2+3. We exploit the sharp paradifferential calculus on Td\mathbb{T}^d introduced by Berti, Maspero and Murgante [J. Dynam. and Differential Equations, 33 (3): 1475-1513, 2021].

Keywords

Cite

@article{arxiv.2309.06117,
  title  = {On the quasilinear Schr\"odinger equations on tori},
  author = {Felice Iandoli},
  journal= {arXiv preprint arXiv:2309.06117},
  year   = {2023}
}