Wave equation on certain noncompact symmetric spaces (Q2665626)

The aim of this paper is to study the sharp pointwise kernel estimates and dispersive properties for the linear wave equation on noncompact Riemannian symmetric spaces \(G/K\) of any rank with \(G\) complex, and their applications to nonlinear Cauchy problems. As a consequence of the pointwise kernel estimates, the author obtains Strichartz inequalities for a large family of admissible pairs and proves global well-posedness results for the corresponding semilinear equation with low-regularity data as on hyperbolic spaces.