Manli Song

activity

20142026

most citedA functional calculus and restriction theorem on H-type groups

4 citations · 7 across the 10 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.FA2014★ 4 cited

A functional calculus and restriction theorem on H-type groups

Heping Liu, Manli Song

Let $L$ be the sublaplacian and $T$ the partial Laplacian with respect to central variables on H-type groups. We investigate a class of invariant differential operators by the join…

math.FA2014★ 2 cited

The restriction theorem for the Grushin operators

Heping Liu, Manli Song

We study the Grushin operators acting on $R_{x}^{d_{1}} \times R_{t}^{d_{2}}$ and defined by the formula \begin{equation*} L=-\overset{d_1}{\underset{j=1}{\sum}}\partial_…

math.AP2014

Strichartz inequalities for the Schrödinger equation with the full Laplacian on H-type groups

Manli Song

In this paper, we prove the dispersive estimates and Strichartz inequalities for the solution of the Schrödinger equation related to the full Laplacian on H-type groups. This exten…