---
_id: '57580'
abstract:
- lang: eng
  text: We investigate dispersive and Strichartz estimates for the Schrödinger equation
    involving the fractional Laplacian in real hyperbolic spaces and their discrete
    analogues, homogeneous trees. Due to the Knapp phenomenon, the Strichartz estimates
    on Euclidean spaces for the fractional Laplacian exhibit loss of derivatives.
    A similar phenomenon appears on real hyperbolic spaces. However, such a loss disappears
    on homogeneous trees, due to the triviality of the estimates for small times.
author:
- first_name: Guendalina
  full_name: Palmirotta, Guendalina
  id: '109467'
  last_name: Palmirotta
- first_name: Yannick
  full_name: Sire, Yannick
  last_name: Sire
- first_name: Jean-Philippe
  full_name: Anker, Jean-Philippe
  last_name: Anker
citation:
  ama: Palmirotta G, Sire Y, Anker J-P. The Schrödinger equation with fractional Laplacian
    on hyperbolic spaces and homogeneous trees. <i>Journal of Differential Equations</i>.
    Published online 2026. doi:<a href="https://doi.org/10.1016/j.jde.2025.114065">10.1016/j.jde.2025.114065</a>
  apa: Palmirotta, G., Sire, Y., &#38; Anker, J.-P. (2026). The Schrödinger equation
    with fractional Laplacian on hyperbolic spaces and homogeneous trees. <i>Journal
    of Differential Equations</i>. <a href="https://doi.org/10.1016/j.jde.2025.114065">https://doi.org/10.1016/j.jde.2025.114065</a>
  bibtex: '@article{Palmirotta_Sire_Anker_2026, title={The Schrödinger equation with
    fractional Laplacian on hyperbolic spaces and homogeneous trees}, DOI={<a href="https://doi.org/10.1016/j.jde.2025.114065">10.1016/j.jde.2025.114065</a>},
    journal={Journal of Differential Equations}, publisher={Elsevier}, author={Palmirotta,
    Guendalina and Sire, Yannick and Anker, Jean-Philippe}, year={2026} }'
  chicago: Palmirotta, Guendalina, Yannick Sire, and Jean-Philippe Anker. “The Schrödinger
    Equation with Fractional Laplacian on Hyperbolic Spaces and Homogeneous Trees.”
    <i>Journal of Differential Equations</i>, 2026. <a href="https://doi.org/10.1016/j.jde.2025.114065">https://doi.org/10.1016/j.jde.2025.114065</a>.
  ieee: 'G. Palmirotta, Y. Sire, and J.-P. Anker, “The Schrödinger equation with fractional
    Laplacian on hyperbolic spaces and homogeneous trees,” <i>Journal of Differential
    Equations</i>, 2026, doi: <a href="https://doi.org/10.1016/j.jde.2025.114065">10.1016/j.jde.2025.114065</a>.'
  mla: Palmirotta, Guendalina, et al. “The Schrödinger Equation with Fractional Laplacian
    on Hyperbolic Spaces and Homogeneous Trees.” <i>Journal of Differential Equations</i>,
    Elsevier, 2026, doi:<a href="https://doi.org/10.1016/j.jde.2025.114065">10.1016/j.jde.2025.114065</a>.
  short: G. Palmirotta, Y. Sire, J.-P. Anker, Journal of Differential Equations (2026).
date_created: 2024-12-04T16:21:38Z
date_updated: 2026-03-30T12:03:37Z
department:
- _id: '10'
- _id: '548'
doi: 10.1016/j.jde.2025.114065
external_id:
  arxiv:
  - '2412.00780'
keyword:
- Schrödinger equation
- Fractional Laplacian
- Dispersive estimates
- Strichartz estimates
- Real hyperbolic spaces
- Homogeneous trees
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1016/j.jde.2025.114065
oa: '1'
project:
- _id: '356'
  name: 'TRR 358 - B02: TRR 358 - Spektraltheorie in höherem Rang und unendlichem
    Volumen (Teilprojekt B02)'
publication: Journal of Differential Equations
publication_status: published
publisher: Elsevier
related_material:
  link:
  - relation: confirmation
    url: https://www.sciencedirect.com/science/article/pii/S0022039625010927?via%3Dihub
status: public
title: The Schrödinger equation with fractional Laplacian on hyperbolic spaces and
  homogeneous trees
type: journal_article
user_id: '109467'
year: '2026'
...