Results 81 to 90 of about 601 (183)
Coercive inequalities on weighted Sobolev spaces [PDF]
Colloquium 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
Electronic 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
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Stability and Instability of Time‐Domain Boundary Element Methods for the Acoustic Neumann Problem
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT This work presents a stable time‐domain boundary element method for the acoustic wave equation in three‐dimensional unbounded domains. Other formulations of time‐domain boundary element methods based on retarded potential operators are known to exhibit stability issues, which often hinder their use in industrial contexts.
Simon Schneider +4 more
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On multipliers in weighted Sobolev spaces. Part II
Қарағанды 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
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Potential trace inequalities via a Calderón‐type theorem
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
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Harmonic maps to the circle with higher dimensional singular set
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
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Abstract 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
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Harmonic vibration of cusped plates in the N-th approximation of Vekua’s hierarchical models
Archives 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
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Some Remarks on Spaces of Morrey Type
Abstract 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
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Gain of regularity for a Korteweg - de Vries - Kawahara type equation
Electronic 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
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