Results 21 to 30 of about 1,559,492 (313)
On the Dirichlet problem for an elliptic equation
It is well known that the concept of a generalized solution from the Sobolev space $W_2^1$ of the Dirichlet problem for a second order elliptic equation is not a generalization of the classical solution sensu stricto: not every continuous function on the
Anatolii K Gushchin
doaj +1 more source
The Fatou completion of a Fréchet function space and applications [PDF]
Given a metrizable locally convex-solid Riesz space of measurable functions we provide a procedure to construct a minimal Fréchet (function) lattice containing it, called its Fatou completion.
Ricker, Werner J. +4 more
core +1 more source
A class of orthogonal polynomials of a new type
The purpose of this paper is to study a class of polynomials Fnm(x,λ,ν) associated with a class of m differential equations, where λ is fixed, n is a variable parameter, m is fixed positive integer and ν is a non-negative integer
M. Dutta, Kanchan Prabha Manocha
doaj +1 more source
On the Space of Integral Functions. IV [PDF]
With this metric, F is a complete linear metric space and convergence of a sequence in F is equivalent to uniform convergence of the sequence of integral functions in any circle of finite radius [1, Theorems 1 and 3 ]. Being a locally convex space in the concerned metric, the Hahn-Banach extension theorem for continuous linear functionals remain valid (
openaire +2 more sources
Ritual Void or Ritual Muddle? Deconsecration Rites of Roman Catholic Church Buildings
The decrease in people who regularly celebrate liturgy in western Europe has led to the question of what to do with so-called obsolete church buildings.
Kim de Wildt
doaj +1 more source
Urban forests constitute vital ecological interfaces between built environments and natural systems, yet the mechanisms driving soil microbial community assembly in these ecosystems remain poorly understood.
Yi Zheng +10 more
doaj +1 more source
A study is made of certain completeness properties of the space of all continuous real-valued functions on a space, where this function space has the compact-open topology.
R. A. Mccoy
doaj +1 more source
The work contains the survey of results related to the study of near the boundary behavior of the solution of the Dirichlet problem with the boundary function in $L_p,$ $p > 1$ for a second-order elliptic equation.
Anatolii Konstantinovich Gushchin
doaj +1 more source
South-north asymmetry of field-aligned currents in the magnetotail observed by Cluster [PDF]
We statistically investigated features of the field-aligned current (FAC) distribution in plasma sheet boundary layers between 17 and 19 RE in the magnetotail using the curlometer technique to calculate the current from four-point magnetic field ...
Lahiff, A. D. +86 more
core +1 more source
We investigate the meaning of the wave function by analyzing the mass and charge density distributions of a quantum system. According to protective measurement, a charged quantum system has effective mass and charge density distributing in space ...
Gao, Shan, Shan Gao
core +1 more source

