scholarly journals On certain one-dimensional elliptic systems under different growth conditions at respective infinities

2019 ◽  
Author(s):  
Masato Iida ◽  
Kimie Nakashima ◽  
Eiji Yanagida
Keyword(s):  
Elliptic Systems ◽  
Growth Conditions ◽  
One Dimensional

Formation of Cr-rich Nano-clusters and Columns in (Zn,Cr)Te Grown by MBE

2009 ◽  
Vol 1183 ◽  
Author(s):  
Yôtarõ Nishio ◽  
Kôichirô Ishikawa ◽  
Shinji Kuroda ◽  
Masanori Mitome ◽  
Yoshio Bando
Keyword(s):  
Magnetic Properties ◽  
Substrate Temperature ◽  
Crystallographic Orientation ◽  
Vertical Direction ◽  
Growth Conditions ◽  
Chemical Analyses ◽  
Mbe Growth ◽  
One Dimensional ◽  
X Ray ◽  
Cr Content

AbstractThe correlation between the Cr aggregation and magnetic properties are investigated for the series of Zn1-xCrxTe films grown by MBE with a systematic variation of growth conditions. Structural and chemical analyses using TEM and energy-dispersive X-ray spectroscopy (EDS) reveal that the crystallinity and the Cr distribution change significantly with the substrate temperature during the MBE growth. For a relatively low average Cr content x ≅ 0.05, it is found that the crystal quality is improved with the increase of the substrate temperature. For a higher average Cr content x ≅ 0.2, the shape of Cr-rich regions is transformed from isolated clusters into one-dimensional nanocolumns with the increase of the substrate temperature. The direction of the nanocolumn formation changes depending on the crystallographic orientation of the grown films. In the magnetization measurements, anisotropic magnetic properties are observed in the films in which Cr-rich nanocolumns are formed in the vertical direction, depending on the relation between the direction of the nanocolumns and the applied magnetic fields.

scholarly journals Fourier multipliers on spaces of distributions

1986 ◽  
Vol 29 (3) ◽  
pp. 309-327 ◽  
Author(s):  
W. Lamb
Keyword(s):  
Banach Spaces ◽  
Growth Conditions ◽  
Fourier Multipliers ◽  
Bounded Operators ◽  
Vertical Strip ◽  
One Dimensional ◽  
The One ◽  
Image Position ◽  
Complex Valued

In [8], Rooney defines a class of complex-valued functions ζ each of which is analytic in a vertical strip α(ζ)< Res < β(ζ) in the complex s-plane and satisfies certain growth conditions as |Im s| →∞ along fixed lines Re s = c lying within this strip. These conditions mean that the functionsfulfil the requirements of the one-dimensional Mihlin-Hörmander theorem (see [6, p. 417]) and so can be regarded as Fourier multipliers for the Banach spaces . Consequently, each function gives rise to a family of bounded operators W[ζ,σ] σ ∈(α(ζ),β(ζ)), on , 1<p<∞.

Controlled synthesis of quasi-one-dimensional boron nitride nanostructures

2007 ◽  
Vol 22 (10) ◽  
pp. 2809-2816 ◽  
Author(s):  
Dai-Ming Tang ◽  
Chang Liu ◽  
Hui-Ming Cheng
Keyword(s):  
Boron Nitride ◽  
Catalyst Concentration ◽  
Structural Characteristics ◽  
Chemical Vapor ◽  
Growth Conditions ◽  
Chemical Vapor Deposition Method ◽  
One Dimensional ◽  
Experimental Parameters ◽  
Bn Nanostructures ◽  
Catalyst Chemical Vapor Deposition

A floating catalyst chemical vapor deposition method was developed for the synthesis of quasi-one-dimensional (1D) boron nitride (BN) nanostructures. By carefully tuning the experimental parameters such as growth temperature, floating catalyst concentration, and boron precursor, high quality 1D BN nanostructures including nanotubes, nanobamboos, and nanowires were selectively produced. The microstructures of the obtained 1D BN nanomaterials were characterized, and it was found that the nanostructures are composed of hexagonal BN phase with (002) planes stacking in different manners. A growth mechanism of the BN nanostructures was proposed based on the analysis of their structural characteristics and growth conditions.

A Phragmén–Lindelöf principle for the equation of a surface of constant mean curvature

1994 ◽  
Vol 124 (1) ◽  
pp. 105-119 ◽  
Author(s):  
R. J. Knops ◽  
L. E. Payne
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Growth Conditions ◽  
Infinite Strip ◽  
Dimensional Problem ◽  
One Dimensional ◽  
First Order ◽  
Lindelöf Principle ◽  
Class Of Functions ◽  
Longitudinal Distance

This paper studies the surface of constant mean curvature on a semi-infinite strip, and shows by means of a first-order differential inequality that the solution in a given measure either becomes asymptotically unbounded at least to polynomial order, or decays at most exponentially to the solution of an associated one-dimensional problem. A proof is also presented for uniqueness in the class of functions having bounded gradient and subject to specified growth conditions for large values of the longitudinal distance. Extensions of these results to the whole strip and to more general types of equations are also described.

scholarly journals EXISTENCE OF SOLUTIONS FOR CRITICAL SYSTEMS WITH VARIABLE EXPONENTS

2018 ◽  
Vol 23 (4) ◽  
pp. 596-610 ◽  
Author(s):  
Hadjira Lalilia ◽  
Saadia Tas ◽  
Ali Djellit
Keyword(s):  
Existence Result ◽  
Existence Of Solutions ◽  
Elliptic Systems ◽  
Growth Conditions ◽  
Critical Growth ◽  
Concentration Compactness ◽  
Variable Exponents ◽  
Critical Systems ◽  
Concentration Compactness Principle ◽  
Compactness Principle

In this work, we deal with elliptic systems under critical growth conditions on the nonlinearities. Using a variant of concentration-compactness principle, we prove an existence result.

scholarly journals Effects of Growth Conditions on One-dimensional Nanorod Growth in REBa2Cu3O7-δ Films

2009 ◽  
Vol 44 (12) ◽  
pp. 535-542 ◽  
Author(s):  
Hideki KAI ◽  
Shigeru HORII ◽  
Ataru ICHINOSE ◽  
Ryusuke KITA ◽  
Kaname MATSUMOTO ◽  
...  
Keyword(s):  
Growth Conditions ◽  
One Dimensional ◽  
Nanorod Growth
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