Results 1 to 10 of about 4,705,780 (288)
GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES [PDF]
Forum of Mathematics, Sigma, 2014 We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order 2 and higher is globally well-posed for smooth initial data as well as for ...
MARTINS BRUVERIS +2 more
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Inequalities in the most simple Sobolev space and convolutions of 𝐿₂ functions with weights [PDF]
, 1993 For the most simple Sobolev space on R composed of real-valued and absolutely continuous functions f(x) on R with finite norms too 2f() 2( 1/2 (a 2 b dx (a, b > 0), -00 we shall apply the theory of reproducing kernels, and derive natural norm ...
Saburou Saitoh
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Multipliers in weighted Sobolev spaces on the axis [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This work establishes necessary and sufficient conditions for the boundedness of one variable differential operator acting from a weighted Sobolev space Wlp,v to a weighted Lebesgue space on the positive real half line.
A. Myrzagaliyeva
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A First Course in Fractional Sobolev Spaces [PDF]
Graduate Studies in Mathematics, 2023 This book provides a gentle introduction to fractional Sobolev spaces, which play a central role in the calculus of variations, partial differential equations, and harmonic analysis. The first part deals with fractional Sobolev spaces of one variable. It
G. Leoni
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On a new fractional Sobolev space with variable exponent on complete manifolds
Boundary Value Problems, 2022 We present the theory of a new fractional Sobolev space in complete manifolds with variable exponent. As a result, we investigate some of our new space’s qualitative properties, such as completeness, reflexivity, separability, and density.
A. Aberqi +3 more
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Every superposition operator mapping one Sobolev space into another is continuous
, 1979 Moshe Marcus, Victor J. Mizel
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Transition Threshold for the 3D Couette Flow in Sobolev Space [PDF]
Communications on Pure and Applied Mathematics, 2018 In this paper, we study the transition threshold of the 3D Couette flow in Sobolev space at high Reynolds number Re. It was proved that if the initial velocity v0 satisfies ∥v0−y,0,0∥H2≤c0Re−1 for some c0 > 0 independent of Re, then the solution of the ...
Dongyi Wei, Zhifei Zhang
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Basic results of fractional Orlicz-Sobolev space and applications to non-local problems [PDF]
Topological Methods in Nonlinear Analysis, 2019 In this paper, we study the interplay between Orlicz-Sobolev spaces $L^{M}$ and $W^{1,M}$ and fractional Sobolev spaces $W^{s,p}$. More precisely, we give some qualitative properties of the new fractional Orlicz-Sobolev space $W^{s,M}$, where $s\in (0,1)$
S. Bahrouni, H. Ounaies, L. S. Tavares
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AIMS Mathematics, 2022 This paper considers a simplified three dimensional Ericksen-Leslie System for nematic liquid crystal flows in the unbounded domain $ \Omega: = \mathbb R^+\times \mathbb R^2 $ or the smooth bounded domain $ \Omega $.
Junling Sun, Xuefeng Han
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Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2019 In the present paper, we deal with a new continuous and compact embedding theorems for the fractional Orlicz-Sobolev spaces, also, we study the existence of infinitely many nontrivial solutions for a class of non-local fractional Orlicz-Sobolev ...
S. Bahrouni, H. Ounaies
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