Wave and Klein-Gordon equations on certain locally symmetric spaces

Hong-Wei Zhang (1)

1 IDP - Institut Denis Poisson

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.

Mots clés: Dispersive estimate; Semilinear Klein-Gordon equation; Locally symmetric space

Domaines: Equations aux dérivées partielles [math.AP]

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⟩