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pro vyhledávání: '"Duan, Zhiwen"'
We proposed a new two-dimensional carbon material named 2-(111) planar T-carbon, which is obtained by slicing bulk T-carbon along its (111) crystallographic direction. 2-(111) planar T-carbon's optical and electrical properties can be engineered via
Externí odkaz:
http://arxiv.org/abs/2409.07329
This paper is inspired by Wang, Wang and Zhang's work [ Observability and unique continuation inequalities for the Schr\"odinger equation. J. Eur. Math. Soc. 21, 3513--3572 (2019)], where they present several observability and unique continuation ine
Externí odkaz:
http://arxiv.org/abs/2310.20541
Autor:
Duan, Zhiwen, Wei, Lei
In this paper, we present a proof of dispersive decay for both linear and nonlinear magnetic Schr\"odinger equations. To achieve this, we introduce the fractional distorted Fourier transforms with magnetic potentials and define the fractional differe
Externí odkaz:
http://arxiv.org/abs/2308.04121
We provide necessary and sufficient conditions for the exact observability of the Schrodinger equations with point interaction and inverse-square potentials on half-line. The necessary and sufficient condition for these two cases are derived from two
Externí odkaz:
http://arxiv.org/abs/2307.09592
Autor:
Wei, Lei, Duan, Zhiwen
In this paper, we prove the existence of the scattering operator for the fractional magnetic Schrodinger operators. For this, we construct the fractional distorted Fourier transforms with magnetic potentials. Applying the properties of the distorted
Externí odkaz:
http://arxiv.org/abs/2304.07846
Publikováno v:
Guan'gai paishui xuebao, Vol 43, Iss 6, Pp 26-33 (2024)
【Objective】 Brackish groundwater can be used as a complementary irrigation resource to safeguard crop production in regions lacking freshwater resources. The purpose of this paper is to study the effect of the salinity of brackish water and soil
Externí odkaz:
https://doaj.org/article/3b199a3e0e2c4a1cac96f00b4393e520
Akademický článek
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Publikováno v:
In Pesticide Biochemistry and Physiology July 2023
Autor:
Wei, Lei, Duan, Zhiwen
Publikováno v:
Acta Mathematica Scientia; Nov2024, Vol. 44 Issue 6, p2391-2410, 20p
Let $\alpha>0$, $H=(-\triangle)^{\alpha}+V(x)$, $V(x)$ belongs to the higher order Kato class $K_{2\alpha}(\mathbbm{R}^n)$. For $1\leq p\leq \infty$, we prove a polynomial upper bound of $\|e^{-itH}(H+M)^{-\beta}\|_{L^p, L^p}$ in terms of time $t$. B
Externí odkaz:
http://arxiv.org/abs/1511.08041