Results 61 to 70 of about 4,722,250 (284)
Journal of Functional Analysis, 1982 AbstractLet Wm,p denote the Sobolev space of functions on Rn whose distributional derivatives of order up to m lie in Lp(Rn) for 1 ⩽ p ⩽ ∞. When 1 < p < ∞, it is known that the multipliers on Wm,p are the same as those on Lp. This result is true for p = 1 only if n = 1.
openaire +3 more sources
Phosphazene Base Mediated (sp3)CH Functionalization with CO2 and CS2
European Journal of Inorganic Chemistry, EarlyView.Selective deprotonation of HCF3, HC2F5, and CH3CN by the phosphazene base EtP4 in the presence of CO2 or CS2 affords the phosphazenium carboxylates [EtP4H]+[F3CCO2]− and [EtP4H]+[F5C2CO2]−, as well as the corresponding dithiocarboxylates [EtP4H]+[F3CCS2]− and [EtP4H]+[F5C2CS2]−.
Katharina Wels +4 more
wiley +1 more source
Quasi-inner product spaces of quasi-Sobolev spaces and their completeness
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2018 Sequences spaces , m , p have called quasi-Sobolev spaces were introduced by Jawad . K. Al-Delfi in 2013 [1]. In this paper , we deal with notion of quasi-inner product space by using concept of quasi-normed space which is ...
Jawad Kadhim Khalaf Al-Delfi
doaj +1 more source
Error Analysis of a Pressure‐Correction Method With Explicit Time‐Stepping
International Journal for Numerical Methods in Fluids, EarlyView.We study explicit variants of this well‐established pressure‐correction scheme for solving the Navier–Stokes equations. Step 3 is replaced by an explicit time‐integration method. We give the complete error analysis for this scheme that allows for highly efficient implementations.
Utku Kaya, Thomas Richter
wiley +1 more source
AIMS Mathematics, 2022 The existence of a mild solution for nonlinear Hilfer fractional stochastic differential equations of the Sobolev type with non-instantaneous impulse in Hilbert space is investigated in this study.
Mohamed Adel +3 more
doaj +1 more source
Sobolev spaces in the presence of symmetries
Journal de Mathématiques Pures et Appliquées, 1997 We prove that Sobolev embeddings can be improved in the presence of symmetries. This includes embeddings in higher \(L^p\)-spaces and compactness properties of these embeddings. While such phenomena have been observed in specific context by several authors, we treat here the case of arbitrary Riemannian manifolds (where, in particular, no global chart ...
Hebey, Emmanuel, Vaugon, Michel
openaire +4 more sources
Boat wakes enhance oyster reef mortality in a short‐fetch estuary
Limnology and Oceanography Letters, EarlyView.Abstract Oyster reefs are vital to estuarine ecosystems, providing key services such as water filtration and shoreline stabilization. However, they are increasingly threatened by human activities, particularly boat wakes. This study investigates the relative impacts of boat wakes and wind waves on reef mortality in the Guana‐Tolomato‐Matanzas estuary ...
Daniele Pinton, Alberto Canestrelli
wiley +1 more source
An approach to metric space-valued Sobolev maps via weak* derivatives
Analysis and Geometry in Metric SpacesWe give a characterization of metric space-valued Sobolev maps in terms of weak* derivatives. More precisely, we show that Sobolev maps with values in dual-to-separable Banach spaces can be defined in terms of classical weak derivatives in a weak* sense.
Creutz Paul, Evseev Nikita
doaj +1 more source
A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space
Comptes Rendus. Mathématique, 2020 We provide a quick proof of the following known result: the Sobolev space associated with the Euclidean space, endowed with the Euclidean distance and an arbitrary Radon measure, is Hilbert.
Di Marino, Simone +2 more
doaj +1 more source
Compactness of higher-order Sobolev embeddings [PDF]
, 2012 We study higher-order compact Sobolev embeddings on a domain $\Omega \subseteq \mathbb R^n$ endowed with a probability measure $\nu$ and satisfying certain isoperimetric inequality.
Slavíková, Lenka
core