Results 141 to 150 of about 4,761,041 (315)
Geochemistry, Geophysics, Geosystems, Volume 26, Issue 10, October 2025.Abstract Rocks at various lithospheric depths commonly display a fabric, resulting in mechanical anisotropy. The mechanical response of such anisotropic rocks depends on both the intensity of the anisotropy and the orientation of the fabric relative to the applied stress.
Thibault Duretz +6 more
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Probabilistic linear widths of Sobolev space with Jacobi weights on [Formula: see text]. [PDF]
J Inequal Appl, 2017 Zhai X, Hu X.
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A density result in Sobolev spaces
Journal de Mathématiques Pures et Appliquées, 2002 Let \(\Omega\) be an open set in \(\mathbb{R}^n\). The author considers the problem of the density of ``nice'' functions, satisfying the Neumann boundary condition, in the Sobolev space \(W^{1,p}(\Omega)\). He proves two theorems on this density, one for the case of polygonal sets which have Lipschitz boundary contained in a finite union of hyperplanes,
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On imbedding theorems for Sobolev spaces and some of their generalization
, 1967 Tosinobu Muramatu
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An approximation theorem in higher order Orlicz-Sobolev spaces and applications [PDF]
, 1989 Abdelmoujib Benkirane +1 more
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Geochemistry, Geophysics, Geosystems, Volume 26, Issue 10, October 2025.Abstract Olivine‐hosted melt inclusions give unique information about primary melt differentiation, magma storage conditions, and their volatile contents, but their compositions are typically affected by post‐entrapment processes. Corrections for post‐entrapment crystallization (PEC) are often done numerically and their results shape interpretations of
T. D. van Gerve, O. Namur, A. Borst
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Estimates in Sobolev norms $∥ ·∥^{s}_{p}$ for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions [PDF]
, 1987 Ewa Ligocka
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Journal of Geophysical Research: Solid Earth, Volume 130, Issue 10, October 2025.Abstract The high topography of the central Andes (15–28°S) is supported by thick crustal roots. The recent uplift of the Altiplano is often explained by crustal shortening and subsequent delamination of the lower crust, though its deep structure and plateau formation processes remain debated.
Li‐Yu Kan +4 more
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Cone conditions and properties of Sobolev spaces
, 1977 Richard Adams, John J. F. Fournier
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Journal of Advances in Modeling Earth Systems, Volume 17, Issue 10, October 2025.Abstract Non‐smoothness arises at cloud edge because, in moist thermodynamics, the thermodynamic properties of the atmosphere are different inside a cloud versus in clear air. In particular, inside a cloud, the vapor pressure of water is constrained by the saturation vapor pressure, which acts as a threshold.
David H. Marsico +2 more
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