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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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https://hal.archives-ouvertes.fr/hal-01872928
Contributor : Hong-Wei Zhang <>
Submitted on : Saturday, August 24, 2019 - 3:03:37 PM
Last modification on : Thursday, June 11, 2020 - 4:17:14 PM
Long-term archiving on: : Friday, January 10, 2020 - 1:31:37 AM

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

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