Results 31 to 40 of about 48,981 (245)

On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs

open access: yesApplied General Topology, 2021
The aim of this work is two fold: first  we  extend some results concerning the computation of the fixed point index for the sum of an expansive mapping and a $k$-set contraction  obtained in \cite{DjebaMeb, Svet-Meb}, to  the case of the sum $T+F ...
Svetlin Georgiev Georgiev   +1 more
doaj   +1 more source

Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and $RCD(K,\infty)$ spaces

open access: yes, 2018
We establish new approximation results, in the sense of Lusin, of Sobolev functions by Lipschitz ones, in some classes of non-doubling metric measure structures.
Bo-Shi Wang (805841)   +10 more
core   +5 more sources

Lipschitz class, narrow class, and counting lattice points [PDF]

open access: yesProceedings of the American Mathematical Society, 2011
A well-known principle says that the number of lattice points in a bounded subset S S of Euclidean space is about the ratio of the volume and the lattice determinant, subject to some relatively mild conditions on S S .
openaire   +2 more sources

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Concentration for norms of infinitely divisible vectors with independent components

open access: yes, 2008
We obtain dimension-free concentration inequalities for $\ell^p$-norms, $p\geq2$, of infinitely divisible random vectors with independent coordinates and finite exponential moments. Besides such norms, the methods and results extend to some other classes
Houdré, Christian   +2 more
core   +2 more sources

Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
wiley   +1 more source

Joint Estimation and Bandwidth Selection in Partially Parametric Models

open access: yesJournal of Applied Econometrics, EarlyView.
ABSTRACT We propose a single‐step approach to estimating a model with both a known nonlinear parametric component and an unknown nonparametric component. We study the large sample behavior of a simultaneous optimization routine that estimates both the parameter vector of the parametric component and the bandwidth vector used to smooth the unknown ...
Daniel J. Henderson   +2 more
wiley   +1 more source

Approximation of certain bivariate functions by almost Euler means of double Fourier series

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we study the degree of approximation of 2π-periodic functions of two variables, defined on T2=[−π,π]×[−π,π] $T^{2}=[-\pi,\pi]\times[-\pi,\pi]$ and belonging to certain Lipschitz classes, by means of almost Euler summability of their ...
Arti Rathore, Uaday Singh
doaj   +1 more source

A theoretical analysis of a SEAIJR model of Spanish flu with fractional derivative

open access: yesResults in Physics, 2021
A nonlinear system of ordinary differential equations comprised with six classes depicting the spread of the 1918–1920 Spanish flu has been considered in this work. Specific analysis including the well-poseness of the model, equilibrium points, stability
Badr Saad T. Alkahtani   +1 more
doaj   +1 more source

Coefficient estimates, Landau's theorem and Lipschitz-type spaces on planar harmonic mappings [PDF]

open access: yes, 2013
In this paper, we investigate the properties of locally univalent and multivalent planar harmonic mappings. First, we discuss the coefficient estimates and Landau's Theorem for some classes of locally univalent harmonic mappings, and then we study some ...
Chen, Shaolin   +2 more
core  

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