Results 41 to 50 of about 4,586 (235)

Boundedness and Applications of Fractional Integral Operators in Nonlocal Problems with Fractional Laplacians

open access: yesAxioms
In this paper, we investigate the properties of the boundedness of fractional integral operators Kα defined on general measure metric spaces. We study their action in Lebesgue spaces Lp(Y), Morrey spaces Lφp(Y), and extend our analysis to fractional ...
Saba Mehmood   +2 more
doaj   +1 more source

A class of abstract quasi-linear evolution equations of second order

open access: yes, 1999
In this paper we study the abstract quasi-linear evolution equation of second order formula here in a general banach space z. it is well-known that the abstract quasi-linear theory due to kato [10, 11] is widely applicable to quasi-linear partial ...
NAOKI TANAKA, Tanaka, Naoki
core   +1 more source

From energy provision to protein synthesis: Tunnelling nanotubes as mediators of intercellular metabolic cooperation in cancer

open access: yesFEBS Open Bio, EarlyView.
The cytoskeleton‐mediated transport of mitochondria via tunnelling nanotubes restores respiration, increases ATP production, rescues cells from apoptosis, activates the AKT/mTOR signalling pathway, promotes cell migration and invasiveness, contributes to cancer progression and treatment resistance.
Stanislava Martínková, Jan Trnka
wiley   +1 more source

To expansions theory of partial differential operators in Banach spaces

open access: yes, 2014
Известная гильбертова схема построения общей теории граничных задач посредством изучения расширений дифференциального оператора в области переносится на случай банаховых пространств типа Lp, p > 1.Well-known scheme of the construction for general theory ...
Мирошникова, А.A.   +1 more
core   +1 more source

MagmaFlow: A desktop platform for artificial intelligence‐driven expression analysis

open access: yesFEBS Open Bio, EarlyView.
MagmaFlow is a free, no‐code platform for gene expression analysis. It generates interactive volcano plots, links genes to literature, pathways, and diseases, prioritizes candidates using millions of publications, identifies affected biological processes, builds network diagrams, and exports publication‐ready figures and reports for macOS and Windows ...
Carlos E. Buss   +7 more
wiley   +1 more source

Ghost symmetries [PDF]

open access: yes, 2001
We introduce the notion of a ghost characteristic for nonlocal differential equations. Ghosts are essential for maintaining the validity of the Jacobi identity for the charateristics of nonlocal vector ...
Olver, Peter J.   +5 more
core   +1 more source

ON EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

open access: yes, 2021
In this article we consider existence and uniqueness of the solutions to a large class of stochastic partial differential equations of the form partial derivative(t)u = L(x)u+ b(t, u)+ s(t, u) (over dot(W)), driven by a Gaussian noise.
Avelin, Benny,, Viitasaari, L.,
core   +1 more source

Feasibility and Tolerability of Performing Portable MRI for Neurological Disorders in an Outpatient Neurology Clinic: A Prospective Cohort

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Accessing brain magnetic resonance imaging (MRI) can be challenging, especially for underserved patients, which may lead to disparities in neurological diagnosis. Method This mixed‐methods study enrolled adults with one of four neurological disorders: mild cognitive impairment or dementia of the Alzheimer type, multiple sclerosis ...
Maya L. Mastick   +19 more
wiley   +1 more source

Transformations of second order ordinary and partial difierential operators

open access: yes, 1982
SynopsisLiouville type transformations are given for symmetric linear ordinary and partial differential operators of second order. Explicit formulas are given for the coefficients of the transformed operators.
Roger T. Lewis   +2 more
core   +1 more source

Necessary Density Conditions for Sampling and Interpolation in Spectral Subspaces of Elliptic Differential Operators

open access: yes, 2021
We prove necessary density conditions for sampling in spectral subspaces of a second order uniformly elliptic differential operator on $R^d$ with slowly oscillating symbol. For constant coefficient operators, these are precisely Landaus necessary density
Gröchenig, Karlheinz, Klotz, Andreas
core   +1 more source

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