Results 31 to 40 of about 27,468 (197)
On the well-posedness of higher order viscous Burgers' equations [PDF]
, 2014 We consider higher order viscous Burgers' equations with generalized nonlinearity and study the associated initial value problems for given data in the $L^2$-based Sobolev spaces.
Carvajal, Xavier, Panthee, Mahendra
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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
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 +3 more
doaj +1 more source
Weighted Estimates on fractal domains [PDF]
, 2015 The aim of the paper is to establish estimates in weighted Sobolev spaces for the solutions of the Dirichlet problems on snowflake domains, as well as uniform estimates for the solutions of the Dirichlet problems on pre-fractal approximating ...
Capitanelli, Raffaela +1 more
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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
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 +2 more
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Littlewood-Paley equivalence and homogeneous Fourier multipliers [PDF]
, 2016 We consider certain Littlewood-Paley operators and prove characterization of some function spaces in terms of those operators. When treating weighted Lebesgue spaces, a generalization to weighted spaces will be made for H\"ormander's theorem on the ...
Sato, Shuichi
core +3 more sources
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 +2 more
core +7 more sources
, 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 +12 more
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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 +3 more
wiley +1 more source