5 papers
Strichartz estimates for higher order Schrödinger equations with Partial regular initial data
Vishvesh Kumar, Shyam Swarup Mondal, Iswarya Sitiraju +1
In this paper, we establish refined Strichartz estimates for higher-order Schrödinger equations with initial data exhibiting partial regularity. By partial regularity, we mean that…
Strichartz estimates involving orthonormal systems at the critical summability exponent
Guoxia Feng, Manli Song, Huoxiong Wu
The primary objective of this paper is to investigate the orthonormal Strichartz estimates at the critical summability exponent for the Schrödinger operator with initial…
Local Dispersive and Strichartz estimates for the Schrödinger equation associated to the Ornstein-Uhlenbeck operator
Aparajita Dasgupta, Uttam Kumar Dolai, Cheng Luo +1
In this paper we study the linear and nonlinear Schrödinger equations associated with the Ornstein-Uhlenbeck (OU) operator endowed with the Gaussian measure. While classical Strich…
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…
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…