Results 51 to 60 of about 559 (145)
Sampling in a weighted Sobolev space
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.
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The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent
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
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On multipliers in weighted Sobolev spaces. Part I
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
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Coercive inequalities on weighted Sobolev spaces [PDF]
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).
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Higher order nonlinear degenerate elliptic problems with weak monotonicity
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
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On multipliers in weighted Sobolev spaces. Part II
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
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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
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Harmonic vibration of cusped plates in the N-th approximation of Vekua’s hierarchical models
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
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Some Remarks on Spaces of Morrey Type
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
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Gain of regularity for a Korteweg - de Vries - Kawahara type equation
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
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