REVIEWS IN MATHEMATICAL PHYSICS, 2024 (SCI-Expanded)
In this paper, the Cauchy problem for convolution-type nonlocal linear and nonlinear Schr & ouml;dinger equations (NSEs) is studied. The equations include the general differential operators. The existence, uniqueness, L-p-regularity properties of linear problem and the existence, uniqueness, and blow-up at finite time of the nonlinear problem are obtained. By choosing differential operators including in equations, the regularity properties of a different type of nonlocal Schr & ouml;dinger equation are studied.