5 papers
Orthonormal Strichartz estimates over fractal time
Guoxia Feng, Jinbong Lee, Sanghyuk Lee
We study Strichartz estimates for orthonormal families of initial data when time is integrated against an -dimensional Frostman measure , , with coefficients measure…
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…
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…
Decay estimates for a class of semigroups related to self-adjoint operators on metric measure spaces
Guoxia Feng, Manli Song, Huoxiong Wu
Assume that is a metric space endowed with a non-negative Borel measure satisfying the doubling condition and the additional condition that for…