Results 61 to 70 of about 5,210,310 (318)
Approximation theory for weighted Sobolev spaces on curves [PDF]
, 2001 17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana Galván, Domingo +6 more
core
Component-by-component construction of good intermediate-rank lattice rules
, 2003 It is known that the generating vector of a rank-1 lattice rule can be constructed component-by-component to achieve strong tractability error bounds in both weighted Korobov spaces and weighted Sobolev spaces.
Joe, Stephen, Kuo, Frances Y.
core +1 more source
Traces for fractional Sobolev spaces with variable exponents [PDF]
, 2017 In this note we prove a trace theorem in fractional spaces with variable exponents. To be more precise, we show that if $p\colon\overline{\Omega}\times \overline{\Omega}\to (1,\infty)$ and $q:\partial \Omega \rightarrow (1,\infty)$ are continuous ...
L. D. Pezzo, J. Rossi
semanticscholar +1 more source
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
SOBOLEV SPACES OVER $\R^\infty$
, 2022 Our goal in this article is to construct Sobolev spaces over $\R^\infty.$ Completeness of the Sobolev space over $\R^\infty$ are discussed. In application we have constructed the Sobolev spaces on a separable Banach space $B.
Kalita, Hemanta
core +1 more source
Fractional Sobolev spaces with variable exponents and fractional p(x)-Laplacians
, 2017 In this article we extend the Sobolev spaces with variable exponents to include the fractional case, and we prove a compact embedding theorem of these spaces into variable exponent Lebesgue spaces.
U. Kaufmann, J. Rossi, R. Vidal
semanticscholar +1 more source
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
Higher Order Sobolev-Type Spaces on the Real Line
Journal of Function Spaces, 2014 This paper gives a characterization of Sobolev functions on the real line by means of pointwise inequalities involving finite differences. This is also shown to apply to more general Orlicz-Sobolev, Lorentz-Sobolev, and Lorentz-Karamata-Sobolev spaces.
Bogdan Bojarski +2 more
doaj +1 more source
Sobolev-Slobodeckij Spaces on Compact Manifolds, Revisited
Mathematics, 2022 In this manuscript, we present a coherent rigorous overview of the main properties of Sobolev-Slobodeckij spaces of sections of vector bundles on compact manifolds; results of this type are scattered through the literature and can be difficult to find. A
Ali Behzadan, Michael Holst
doaj +1 more source
Local Existence for the Non-Resistive MHD Equations in Nearly Optimal Sobolev Spaces [PDF]
Archive for Rational Mechanics and Analysis, 2016 This paper establishes the local-in-time existence and uniqueness of solutions to the viscous, non-resistive magnetohydrodynamics (MHD) equations in Rd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
C. Fefferman +3 more
semanticscholar +1 more source