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 equation 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.

Domaines: Equations aux dérivées partielles [math.AP]

Hong-Wei Zhang. WAVE AND KLEIN-GORDON EQUATIONS ON CERTAIN LOCALLY SYMMETRIC SPACES. 2018. ⟨hal-01872928v1⟩