4 papers · 1 filter
Pointwise estimates for the fundamental solutions of higher order Schrödinger equations in odd dimensions II: high dimensional case
Han Cheng, Shanlin Huang, Tianxiao Huang +1
In this paper, for any odd and any integer with , we study the fundamental solution of the higher order Schrödinger equation \begin{equation*} \mathrm{i}\partial…
Dispersive estimates for the Schrödinger equation with finite rank perturbations
Han Cheng, Shanlin Huang, Quan Zheng
In this paper, we investigate dispersive estimates for the time evolution of Hamiltonians $$ H=-Δ+\sum_{j=1}^N\langle\cdot\,, φ_j\rangle φ_j\quad\,\,\,\text{in}\,\,\,\mathbb{R}^d,\…
Characterizations of stabilizable sets for some parabolic equations in
Shanlin Huang, Gengsheng Wang, Ming Wang
We consider the parabolic type equation in : \begin{align}\label{equ-0} (\partial_t+H)y(t,x)=0,\,\,\, (t,x)\in (0,\infty)\times\mathbb{R}^n;\;\; \quad y(0,x)\in L^2(\…
Quantitative uniqueness of some higher order elliptic equations
Shanlin Huang, Ming Wang, Quan Zheng
We study the quantitative unique continuation property of some higher order elliptic operators. In the case of , where is a positive integer, we derive lower bounds o…