Results 111 to 120 of about 250,996 (306)

Fourier uniqueness and non-uniqueness pairs

open access: yes, 2023
Motivated by recent works by Radchenko and Viazovska and by Ramos and Sousa, we find sufficient conditions for a pair of discrete subsets of the real line to be a uniqueness or a non-uniqueness pair for the Fourier transform.
Kulikov, Aleksei   +2 more
core  

Maximum and minimum principles for nonlinear transport equations on discrete-space domains

open access: yesElectronic Journal of Differential Equations, 2014
We consider nonlinear scalar transport equations on the domain with discrete space and continuous time. As a motivation we derive a conservation law on these domains.
Jonas Volek
doaj  

On second-order linear Stieltjes differential equations with non-constant coefficients

open access: yesOpen Mathematics
In this work, we define the notions of Wronskian and simplified Wronskian for Stieltjes derivatives and study some of their properties in a similar manner to the context of time scales or the usual derivative.
Fernández Francisco J.   +2 more
doaj   +1 more source

Uniqueness of the power of meromorphic functions with its differential polynomial sharing a set [PDF]

open access: yesMathematica Moravica, 2016
This paper is devoted to the uniqueness problem of the power of a meromorphic function with its differential polynomial sharing a set. Our result will extend a number of results obtained in the theory of normal families.
Abhijit Banerjee, Bikash Chakraborty
doaj  

Leucine‐rich glioma inactivated 1 (LGI1) is a ganglioside‐binding protein

open access: yesFEBS Letters, EarlyView.
Neuronal hyperexcitability associated with a decrease/absence of the extracellular protein LGI1 has been suggested to be primarily due to the downregulation of Kv1 channel expression. The molecular mechanisms underlying this decrease have not yet been elucidated.
Kévin Debreux   +7 more
wiley   +1 more source

The relationships between biotic uniqueness and abiotic uniqueness are context dependent across drainage basins worldwide

open access: yes
Context: Global change, including land-use change and habitat degradation, has led to a decline in biodiversity, more so in freshwater than in terrestrial ecosystems.
Boda, P   +15 more
core   +1 more source

A nonlocal mixed semilinear problem for second-order hyperbolic equations

open access: yesElectronic Journal of Differential Equations, 2003
In this work we study a nonlinear hyperbolic one-dimensional problem with a nonlocal condition. We establish a blow up result for large initial data and a decay result for small initial data.
Said Mesloub, Salim A. Messaoudi
doaj  

Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment

open access: yesMolecular Oncology, EarlyView.
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley   +1 more source

Uniqueness in Determining Refractive Indices by Formally Determined Far-Field Data

open access: yes, 2015
We present two uniqueness results for the inverse problem of determining an index of refraction by the corresponding acoustic far-field measurement encoded into the scattering amplitude. The first one is a local uniqueness in determining a variable index
Li, Jingzhi, Hu, Guanghui, Liu, Hongyu
core   +1 more source

Uniqueness of positive solutions to a class of semilinear elliptic equations

open access: yesBoundary Value Problems, 2011
In this article, we consider the uniqueness of positive radial solutions to the Dirichlet boundary value problem Δ u + f ( | x | , u ) + g ( | x | ) x ⋅ ∇ u = 0 , x ∈ Ω , u = 0 , x ∈ ∂ Ω ,
Li Chunming, Zhou Yong
doaj  

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