Manli Song

most citedDecay estimates and Strichartz inequalities for a class of dispersive equations on H-type groups

1 citations · 1 across the 4 of their papers we have counts for

collaborators

7 papers

math.AP2025

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…

math.AP2025

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 $e^{i t Δ}$ with initial…

math.FA2025

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…

math.FA2025

Orthonormal Strichartz estimates for Dunkl-Schrödinger equation of initial data with Sobolev regularity

Guoxia Feng, Shyam Swarup Mondal, Manli Song +1

Let $Δ_{κ}$ be the Dunkl-Laplacian on $R^{n}$ . 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…

math.FA2024

Decay estimates for a class of Dunkl wave equations

Cheng Luo, Shyam Swarup Mondal, Manli Song

Let $Δ_{κ}$ be the Dunkl Laplacian on $R^{n}$ and $ϕ : R^{+} \to R$ is a smooth function. The aim of this manuscript is twofold. First, we study the decay estim…

math.AP2024★ 1 cited

Decay estimates and Strichartz inequalities for a class of dispersive equations on H-type groups

Manli Song, Jinggang Tan

Let $L$ be the sub-Laplacian on H-type groups and $ϕ : R^{+} \to R$ be a smooth function. The primary objective of the paper is to study the decay estimate…