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Journal Articles The Journal of Geometric Analysis Year : 2020

Wave and Klein-Gordon equations on certain locally symmetric spaces

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.
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Dates and versions

hal-01872928 , version 1 (12-09-2018)
hal-01872928 , version 2 (24-08-2019)

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Hong-Wei Zhang. Wave and Klein-Gordon equations on certain locally symmetric spaces. The Journal of Geometric Analysis, In press, ⟨10.1007/s12220-019-00246-8⟩. ⟨hal-01872928v2⟩
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