Regularity properties of nonlinear abstract Schrödinger equations and applications.

In this paper, regularity properties, Strichartz type estimates for solution of integral problem for linear and nonlinear abstract Schrödinger equations in vector-valued function spaces are obtained. The equation includes a linear operator A defined in a Banach space E , in which by choosing E and A we can obtain numerous classis of initial value problems for Schrödinger equations which occur in a wide variety of physical systems. [ABSTRACT FROM AUTHOR]