Results 31 to 40 of about 27,220 (202)

Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]

, 2013
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Chkadua O., D. NATROSHVILI, Grisvard P., Hanouzet B., McLean W., Nedelec J., Neto J. B., O. CHKADUA, S. E. MIKHAILOV   +8 more
core   +2 more sources

Hertz potentials and asymptotic properties of massless fields

, 2014
In this paper we analyze Hertz potentials for free massless spin-s fields on the Minkowski spacetime, with data in weighted Sobolev spaces. We prove existence and pointwise estimates for the Hertz potentials using a weighted estimate for the wave ...
Andersson, Lars, Bäckdahl, Thomas, Joudioux, Jérémie   +2 more
core   +1 more source

Regularity for eigenfunctions of Schr\"odinger operators [PDF]

, 2002
We prove a regularity result in weighted Sobolev spaces (or Babuska--Kondratiev spaces) for the eigenfunctions of a Schr\"odinger operator. More precisely, let K_{a}^{m}(\mathbb{R}^{3N}) be the weighted Sobolev space obtained by blowing up the set of ...
Ammann, Bernd, Carvalho, Catarina, Nistor, Victor   +2 more
core   +7 more sources

Traces of multipliers in pairs of weighted Sobolev spaces

Journal of Function Spaces and Applications, 2005
We prove that the pointwise multipliers acting in a pair of fractional Sobolev spaces form the space of boundary traces of multipliers in a pair of weighted Sobolev space of functions in a domain.
Vladimir Maz'ya, Tatyana Shaposhnikova
doaj   +1 more source

Solvability of a system of integral equations in two variables in the weighted Sobolev space $W^{1,1}_\omega(a,b)$ using a generalized measure of noncompactness

Nonlinear Analysis, 2022
In this paper, we deal with the existence of solutions for a coupled system of integral equations in the Cartesian product of weighted Sobolev spaces E = Wω1,1 (a,b) x Wω1,1 (a,b).
Taqi A.M. Shatnawi, Ahmed Boudaoui, Wasfi Shatanawi, Noura Laksaci   +3 more
doaj   +1 more source

Weighted Sobolev spaces and regularity for polyhedral domains [PDF]

, 2005
We prove a regularity result for the Poisson problem $-\Delta u = f$, $u |\_{\pa \PP} = g$ on a polyhedral domain $\PP \subset \RR^3$ using the \BK\ spaces $\Kond{m}{a}(\PP)$. These are weighted Sobolev spaces in which the weight is given by the distance
Ammann, Apel, Arnold, Babuška, Babuška, Babuška, Babuška, Babuška, Babuška, Babuška, Bacuta, Bernd Ammann, Bolley, Borsuk, Brenner, Buffa, Cheeger, Costabel, Costabel, Costabel, Dauge, Evans, Grisvard, Grisvard, Guo, Jerison, Kellogg, Kellogg, Kondrat’ev, Kozlov, Laasonen, Lubuma, Mazzeo, Mazzeo, Maz’ya, Maz’ya, Melrose, Mitrea, Nazarov, Nečas, Nicaise, Nicaise, Schrohe, Skrzypczak, Taylor, Triebel, Victor Nistor, Wahlbin   +47 more
core   +8 more sources

Weighted Sobolev inequalities in CD(0,N) spaces [PDF]

ESAIM: Control, Optimisation and Calculus of Variations, 2021
In this note, we prove global weighted Sobolev inequalities on non-compact CD(0,N) spaces satisfying a suitable growth condition, extending to possibly non-smooth and non-Riemannian structures a previous result from [V. Minerbe,G.A.F.A.18(2009) 1696–1749] stated for Riemannian manifolds with non-negative Ricci curvature.
openaire   +4 more sources

Hodge-Helmholtz Decompositions of Weighted Sobolev Spaces in Irregular Exterior Domains with Inhomogeneous and Anisotropic Media

, 2011
We study in detail Hodge-Helmholtz decompositions in non-smooth exterior domains filled with inhomogeneous and anisotropic media. We show decompositions of alternating differential forms belonging to weighted Sobolev spaces into irrotational and ...
Colton, Courant, McOwen, Pauly, Pauly, Pauly, Picard, Picard, Picard, Picard, Specovius‐Neugebauer, Weck, Weyl   +12 more
core   +1 more source

Weighted Sobolev spaces of radially symmetric functions

, 2013
We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weights that are powers of the distance from the origin.
A Moradifam, DG Figueiredo de, EH Lieb, EM Stein, F Catrina, F Gazzola, F Gazzola, F Rellich, F Rellich, G Talenti, GH Hardy, GH Hardy, J Sacks, L Caffarelli, M Calanchi, N Ghoussoub, P Caldiroli, P Caldiroli, PL Lions, R Musina, Roberta Musina, T Aubin, W Byeon, WM Ni, XJ Wang   +24 more
core   +1 more source

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

Advanced Materials, EarlyView.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia, Rogelio Ortigosa, Jesús Martínez‐Frutos, Daniel Garcia‐Gonzalez   +3 more
wiley   +1 more source