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 [Formula: see text] defined in a Banach space [Formula: see text], in which by choosing [Formula: see text] and [Formula: see text] we can obtain numerous classis of initial value problems for Schrödinger equations which occur in a wide variety of physical systems.

中文翻译：

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非线性抽象薛定谔方程的规律性及其应用

在本文中，获得了向量值函数空间中线性和非线性抽象薛定谔方程的积分问题解的正则性、Strichartz型估计。该方程包括一个定义在Banach空间[公式：见文]中的线性算子[公式：见文]，其中通过选择[公式：见文]和[公式：见文]我们可以得到许多类初值问题用于出现在各种物理系统中的薛定谔方程。