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math.FA2025
Orthonormal Strichartz estimates for Dunkl-Schrödinger equation of initial data with Sobolev regularity
Guoxia Feng, Shyam Swarup Mondal, Manli Song +1
Let be the Dunkl-Laplacian on . The main aim of this paper is to investigate the orthonormal Strichartz estimates for the Schrödinger equation with initial data…
math.FA2024
Orthonormal Strichartz inequalities and their applications on abstract measure spaces
Guoxia Feng, Shyam Swarup Mondal, Manli Song +1
The main objective of this paper is to extend certain fundamental inequalities from a single function to a family of orthonormal systems. In the first part of the paper, we conside…