Results 51 to 60 of about 559 (145)

Sampling in a weighted Sobolev space

open access: yesComptes Rendus. Mathématique, 2012
We show that functions f in some weighted Sobolev space are completely determined by time-frequency samples {f(tn)}n∈Z∪{fˆ(λk)}k∈Z along appropriate slowly increasing sequences {tn}n∈Z and {λn}n∈Z tending to ±∞ as n→±∞.
Acala, Nestor G., Reyes, Noli N.
openaire   +2 more sources

The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent

open access: yesAbstract and Applied Analysis, 2014
We first discuss the existence and uniqueness of weak solution for the obstacle problem of the nonhomogeneous A-harmonic equation with variable exponent, and then we obtain the existence of the solutions of the equation d⋆A(x,dω)=B(x,dω) in the weighted ...
Haiyu Wen
doaj   +1 more source

On multipliers in weighted Sobolev spaces. Part I

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2016
Let X, Y be Banach spaces whose elements are functions y : Ω → R. We say that a function z : Ω → R is apointwise multiplier on the pair (X, Y ), if T x = zx ∈ Y and the operator T : X → Y is bounded. M(X → Y )denotes the multiplier space on the pair (X,
L. Kussainova, A. Myrzagaliyeva
doaj  

Coercive inequalities on weighted Sobolev spaces [PDF]

open access: yesColloquium Mathematicum, 1993
Let \(P_j= (P_{j1}, \dots, P_{jk})\) \((j=1, \dots, N)\) be scalar differential operators of order \(m\), acting on vector-valued functions \(f= (f_1, \dots, f_k)\): \[ P_j f=\sum_{i=1}^k P_{ji} f_i, \qquad P_{ji} g(x)= \sum_{|\alpha|\leq m} a_{\alpha, j,i} (x) Dg(x).
openaire   +1 more source

Higher order nonlinear degenerate elliptic problems with weak monotonicity

open access: yesElectronic Journal of Differential Equations, 2006
We prove the existence of solutions for nonlinear degenerate elliptic boundary-value problems of higher order. Solutions are obtained using pseudo-monotonicity theory in a suitable weighted Sobolev space.
Youssef Akdim   +2 more
doaj  

On multipliers in weighted Sobolev spaces. Part II

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2016
Let X, Y be Banach spaces whose elements are functions y : Ω → R. We say that a function z : Ω → R is apointwise multiplier on the pair (X, Y ), if T x = zx ∈ Y and the operator T : X → Y is bounded. M (X → Y )denotes the multiplier space on the pair (X,
A. Myrzagaliyeva
doaj  

The Existence and Uniqueness of a New Boundary Value Problem (Type of Problem “E”) for Linear System Equations of the Mixed Hyperbolic-Elliptic Type in the Multivariate Dimension with the Changing Time Direction

open access: yesAbstract and Applied Analysis, 2015
The existence and uniqueness of the boundary value problem for linear systems equations of the mixed hyperbolic-elliptic type in the multivariate domain with the changing time direction are studied.
Mahammad A. Nurmammadov
doaj   +1 more source

Harmonic vibration of cusped plates in the N-th approximation of Vekua’s hierarchical models

open access: yesArchives of Mechanics, 2013
In this paper elastic cusped symmetric prismatic shells (i.e., plates of variable thickness with cusped edges) in the N-th approximation of Vekua’s hierarchical models are considered.
N. Chinchaladze
doaj   +1 more source

Some Remarks on Spaces of Morrey Type

open access: yesAbstract and Applied Analysis, 2010
We deepen the study of some Morrey type spaces, denoted by Mp,λ(Ω), defined on an unbounded open subset Ω of ℝn. In particular, we construct decompositions for functions belonging to two different subspaces of Mp,λ(Ω), which allow us to prove a ...
Loredana Caso   +2 more
doaj   +1 more source

Gain of regularity for a Korteweg - de Vries - Kawahara type equation

open access: yesElectronic Journal of Differential Equations, 2004
We study the existence of local and global solutions, and the gain of regularity for the initial value problem associated to the Korteweg - de Vries - Kawahara (KdVK) equation perturbed by a dispersive term which appears in several fluids dynamics ...
Octavio Paulo Vera Villagran
doaj  

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