A REVIEW OF DISPERSIVE LIMITS OF (NON)LINEAR SCHR¨ODINGER-TYPE EQUATIONS
A REVIEW OF DISPERSIVE LIMITS OF (NON)LINEAR SCHR¨ODINGER-TYPE EQUATIONS
In this review paper we present the most important mathematical properties of dispersive limits of (non)linear Schr¨odinger type equations. Different formulations are used to study these singular limits, e.g., the kinetic formulation of the linear Schr¨odinger equation based on the Wigner transform is well suited for global-in-time analysis without using …