Results 81 to 90 of about 4,705,780 (288)
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
Poincaré inequalities and Sobolev spaces [PDF]
Publicacions Matemàtiques, 2002 Our understsanding of the interplay between Poincaré inequalities, Sobolev inequalities and the geometry of the underlying space has changed considerably in recent years. These changes have simultaneously provided new insights into the classical theory and allowed much of that theory to be extended to a wide variety of different settings.
openaire +5 more sources
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
Journal of Inequalities and Applications, 2011 Let , the authors introduce in this paper a class of the hypersingular Marcinkiewicz integrals along surface with variable kernels defined by , where with .
Ruiying Wei, Yin Li
doaj +2 more sources
How smooth is almost every function in a Sobolev space
, 2006 We show that almost every function (in the sense of prevalence) in a Sobolev space is multifractal: Its regularity changes from point to point; the sets of points with a given Holder regularity are fractal sets, and we determine their Hausdorff dimension.
A. Fraysse, S. Jaffard
semanticscholar +1 more source
Weighted Sobolev Spaces on Curves
Journal of Approximation Theory, 2002 45 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10.
Elena Romera +3 more
openaire +3 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
Wavelet frames in Sobolev space over locally compact abelian group
Boletim da Sociedade Paranaense de MatemáticaIn this paper we construct wavelet frames for continuous and discrete wavelets on Sobolev space over abelian group. A necessary condition and sufficient conditions for wavelet frames in Sobolev space over Locally Compact Abelian Group are given ...
M. M. Dixit, C. P. Pandey, Pratima Devi
doaj +1 more source
Existence of a local strong solution to the beam–polymeric fluid interaction system
Mathematische Nachrichten, EarlyView.Abstract We construct a unique local strong solution to the finitely extensible nonlinear elastic (FENE) dumbbell model of Warner‐type for an incompressible polymer fluid (described by the Navier–Stokes–Fokker–Planck equations) interacting with a flexible elastic shell.
Dominic Breit, Prince Romeo Mensah
wiley +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
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