Multipoint Problems for Wave Equations and Applications

Abstract

In this paper, the existence, uniqueness and Strichartz type estimates to solutions of multipoint problem for abstract linear and nonlinear wave equations are obtained. The equation includes a linear operator A defined in a Hilbert space H. We obtain the existence, uniqueness regularity properties, and Strichartz type estimates to solutions of a wide class of wave equations which appear in the fields of elastic rod, hydro-dynamical process, plasma, materials science and physics, by choosing the space H and the operator A.