Results 161 to 170 of about 5,040,927 (317)
Real interpolation of Sobolev spaces
MATHEMATICA SCANDINAVICA, 2009 We prove that $W^{1}_{p}$ is a real interpolation space between $W^{1}_{p_{1}}$ and $W^{1}_{p_{2}}$ for $p>q_{0}$ and $1\leq p_{1}<p<p_{2}\leq \infty$ on some classes of manifolds and general metric spaces, where $q_{0}$ depends on our hypotheses.
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An X‐FFT Solver for Two‐Dimensional Thermal Homogenization Problems
International Journal for Numerical Methods in Engineering, Volume 126, Issue 7, 15 April 2025.ABSTRACT We introduce an approach to computational homogenization which unites the accuracy of interface‐conforming finite elements (FEs) and the computational efficiency of methods based on the fast Fourier transform (FFT) for two‐dimensional thermal conductivity problems.
Flavia Gehrig, Matti Schneider
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Weighted sobolev spaces and the nonlinear dirichlet problem in unbounded domains [PDF]
, 1979 Vieri Benci, Donato Fortunato
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Mean‐field limit of non‐exchangeable systems
Communications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 651-741, April 2025.Abstract This paper deals with the derivation of the mean‐field limit for multi‐agent systems on a large class of sparse graphs. More specifically, the case of non‐exchangeable multi‐agent systems consisting of non‐identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept ...
Pierre‐Emmanuel Jabin +2 more
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Fractional minimization problem on the Nehari manifold
Electronic Journal of Differential Equations, 2018 In the framework of fractional Sobolev space, using Nehari manifold and concentration compactness principle, we study a minimization problem in the whole space involving the fractional Laplacian.
Mei Yu, Meina Zhang, Xia Zhang
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Characterizations of the Sobolev space H1 on the boundary of a strongly Lipschitz domain in 3‐D
Mathematische Nachrichten, Volume 298, Issue 4, Page 1342-1355, April 2025.Abstract In this work, we investigate the Sobolev space H1(∂Ω)$\mathrm{H}^{1}(\partial \Omega)$ on a strongly Lipschitz boundary ∂Ω$\partial \Omega$, that is, Ω$\Omega$ is a strongly Lipschitz domain (not necessarily bounded). In most of the literature, this space is defined via charts and Sobolev spaces on flat domains.
Nathanael Skrepek
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Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres
Electronic Journal of Differential Equations, 2006 We prove existence results for distributional solutions of anisotropic nonlinear elliptic systems with a measure valued right-hand side. The functional setting involves anisotropic Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces. In a
Mostafa Bendahmane, Kenneth H. Karlsen
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INTERPOLATION PROPERTIES OF $ \epsilon$-ENTROPY AND DIAMETERS. GEOMETRIC CHARACTERISTICS OF IMBEDDING FOR FUNCTION SPACES OF SOBOLEV-BESOV TYPE [PDF]
, 1975 Hans Tribel'
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Variations in Hawaiian Plume Flux Controlled by Ancient Mantle Depletion
AGU Advances, Volume 6, Issue 2, April 2025.Abstract Mantle plumes—upwellings of buoyant rock in Earth's mantle—feed hotspot volcanoes such as Hawai‘i. The size of volcanoes along the Hawai‘i–Emperor chain, and thus the magma flux of the Hawaiian plume, has varied over the past 85 million years. Fifteen and two million years ago, rapid bursts in magmatic production led to the emergence of large ...
Paul Béguelin +5 more
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