Multipoint Cauchy problem for nonlinear wave equations in vector-valued spaces

Abstract

In this paper, regularity properties, Strichartz type estimates to solutions of multipoınt Cauchy problem for linear and nonlinear abstract wave equations in vector-valued function spaces are obtained. The equation includes a linear operator A defined in a Hilbert space H, in which by choosing H and A we can obtain numerous classis of nonlocal initial value problems for wave equations which occur in a wide variety of physical systems.

arXiv admin note: substantial text overlap with arXiv:1706.07226