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