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Wave and Klein-Gordon equations on certain locally symmetric spaces

Hong-Wei Zhang (UGent)
(2020) JOURNAL OF GEOMETRIC ANALYSIS. 30(4). p.4386-4406
Author
Organization
Abstract
This paper is devoted to study the dispersive properties of the linear Klein-Gordon and wave equations on a class of locally symmetric spaces. As a consequence, we obtain the Strichartz estimate and prove global well-posedness results for the corresponding semilinear equation with low regularity data as on real hyperbolic spaces.
Keywords
Geometry and Topology, Locally symmetric space, Wave operator, Dispersive estimate, Semilinear wave equation, Semilinear Klein-Gordon equation, EXISTENCE, MULTIPLIERS

Citation

Please use this url to cite or link to this publication:

MLA
Zhang, Hong-Wei. “Wave and Klein-Gordon Equations on Certain Locally Symmetric Spaces.” JOURNAL OF GEOMETRIC ANALYSIS, vol. 30, no. 4, 2020, pp. 4386–406, doi:10.1007/s12220-019-00246-8.
APA
Zhang, H.-W. (2020). Wave and Klein-Gordon equations on certain locally symmetric spaces. JOURNAL OF GEOMETRIC ANALYSIS, 30(4), 4386–4406. https://doi.org/10.1007/s12220-019-00246-8
Chicago author-date
Zhang, Hong-Wei. 2020. “Wave and Klein-Gordon Equations on Certain Locally Symmetric Spaces.” JOURNAL OF GEOMETRIC ANALYSIS 30 (4): 4386–4406. https://doi.org/10.1007/s12220-019-00246-8.
Chicago author-date (all authors)
Zhang, Hong-Wei. 2020. “Wave and Klein-Gordon Equations on Certain Locally Symmetric Spaces.” JOURNAL OF GEOMETRIC ANALYSIS 30 (4): 4386–4406. doi:10.1007/s12220-019-00246-8.
Vancouver
1.
Zhang H-W. Wave and Klein-Gordon equations on certain locally symmetric spaces. JOURNAL OF GEOMETRIC ANALYSIS. 2020;30(4):4386–406.
IEEE
[1]
H.-W. Zhang, “Wave and Klein-Gordon equations on certain locally symmetric spaces,” JOURNAL OF GEOMETRIC ANALYSIS, vol. 30, no. 4, pp. 4386–4406, 2020.
@article{8707686,
  abstract     = {{This paper is devoted to study the dispersive properties of the linear Klein-Gordon and wave equations on a class of locally symmetric spaces. As a consequence, we obtain the Strichartz estimate and prove global well-posedness results for the corresponding semilinear equation with low regularity data as on real hyperbolic spaces.}},
  author       = {{Zhang, Hong-Wei}},
  issn         = {{1050-6926}},
  journal      = {{JOURNAL OF GEOMETRIC ANALYSIS}},
  keywords     = {{Geometry and Topology,Locally symmetric space,Wave operator,Dispersive estimate,Semilinear wave equation,Semilinear Klein-Gordon equation,EXISTENCE,MULTIPLIERS}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{4386--4406}},
  title        = {{Wave and Klein-Gordon equations on certain locally symmetric spaces}},
  url          = {{http://doi.org/10.1007/s12220-019-00246-8}},
  volume       = {{30}},
  year         = {{2020}},
}
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