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The Landis conjecture on exponential decay

Inventiones Mathematicae, 2020
Consider a solution u\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$u ...
A. Logunov   +3 more
semanticscholar   +1 more source

An open channel with an emergent vegetation patch: Predicting the longitudinal profiles of velocities based on exponential decay

, 2020
In an open channel, a vegetation patch increases local flow resistances, which impacts velocity fields inside and outside the patch. A series of experiments was performed to investigate the longitudinal evolution of velocities in a channel with an ...
Chao Liu   +4 more
semanticscholar   +1 more source

Non-exponential decay of a giant artificial atom

Nature Physics, 2018
In quantum optics, light–matter interaction has conventionally been studied using small atoms interacting with electromagnetic fields with wavelength several orders of magnitude larger than the atomic dimensions1,2.
G. Andersson   +4 more
semanticscholar   +2 more sources

Non-exponential decay kinetics: correct assessment and description illustrated by slow luminescence of Si nanostructures

Applied spectroscopy reviews (Softcover ed.), 2019
The treatment of time-resolved (TR) photoluminescence (PL) decay kinetics is analysed in details and illustrated by experiments on semiconductor quantum dots, namely silicon nanocrystals (Si NCs).
M. Greben   +3 more
semanticscholar   +1 more source

A well-posedness and exponential decay of solutions for a coupled Lamé system with viscoelastic term and logarithmic source terms

Applicable Analysis, 2019
This paper describes a well-posedness and exponential decay of solutions for a coupled Lamé system with viscoelastic term and logarithmic source terms, where an asymptotic stability result of global solution is obtained.
S. Boulaaras
semanticscholar   +1 more source

Exponential decay for elastic systems with structural damping and infinite delay

Applicable Analysis, 2018
In this paper, we consider nonlinear evolution equations of second order in Banach spaces involving unbounded delay, which can model an elastic system with structural damping involving infinite delays.
V. Luong, N. T. Tung
semanticscholar   +1 more source

Exponential tooth decay curve.

Community dental health, 2019
A review of the distribution of d₃mft scores for Wales was undertaken to inform decisions on future reporting of decay experience. Visual examination of data from one survey suggested that caries in Wales is distributed along an exponential decay curve.Weighted d₃mft data from 2007/8, 2011/12 and 2014/15 was utilised.
openaire   +2 more sources

Fourier-Laplace transforms decaying exponentially

Mathematical Proceedings of the Cambridge Philosophical Society, 1988
Let ƒ(x) be a C-valued function which is integrable with respect to a positive measure m on the Borel σ-field of R = (– ∞, ∞). We shall give necessary and sufficient conditions under which the following Fourier-Laplace transform f(λ) of ƒ(x) decays exponentially as λ → ∞:where θ is a constant with –π/2 ≤ θ ≤ π/2.
openaire   +1 more source

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