We provide reversed Strichartz estimates for the shifted wave equations on non-trapping asymptotically hyperbolic manifolds using cluster spectral projectors proved previously in such generality. As a consequence, we solve problem left open Sire et al [Trans. AMS 373(2020):7639-7668] about endpoint case global well-posedness of nonlinear equations. also this context maximal operator.

In this paper, we study asymptotic stability properties of risk-sensitive lters with respect to their initial conditions. In particular, we consider a linear time-invariant systems with initial conditions that are not necessarily Gaussian. We show that in the case of Gaussian initial conditions, the optimal risk-sensitive lter asymptotically converges to any suboptimal lter initialized with an ...

a definition of two jointly asymptotically nonexpansive mappings s and t on uniformly convex banach space e is studied to approximate common fixed points of two such mappings through weak and strong convergence of an ishikawa type iteration scheme generated by s and t on a bounded closed and convex subset of e. as a consequence of the notion of two jointly asymptotically nonexpansive maps, we c...