Sharp estimates for the Schr\"odinger equation associated to the twisted Laplacian

Duván Cardona

Sharp estimates for the Schr\"odinger equation associated to the twisted Laplacian

Analysis of PDEs 2019-12-10 v2

Authors: Duván Cardona

Abstract

In this note we obtain some Strichartz estimates for the Schr\"odinger equation associated to the twisted Laplacian on $\mathbb{C}^{n}\cong \mathbb{R}^{2n}$ . The initial data will be considered in suitable Sobolev spaces associated to the twisted Laplacian.

Keywords

Schrödinger equation twisted Laplacian Strichartz estimates Sobolev spaces complex space

Cite

@article{arxiv.1810.02940,
  title  = {Sharp estimates for the Schr\"odinger equation associated to the twisted Laplacian},
  author = {Duván Cardona},
  journal= {arXiv preprint arXiv:1810.02940},
  year   = {2019}
}

Comments

10 pages

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