Weighted Sobolev Spaces on Curves [PDF]
Journal of Approximation Theory, 2002 In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete for non-closed compact curves. We also prove the density of the polynomials in these spaces and, finally, we find conditions under which the multiplication operator is bounded in the space of polynomials.
Venancio Alvarez +3 more
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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
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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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Sobolev Embedding Theorem for the Sobolev-Morrey spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 In this paper we prove a Sobolev Embedding Theorem for Sobolev-Morrey spaces. The proof is based on the Sobolev Integral Representation Theorem and on a recent results on Riesz potentials in generalized Morrey spaces of Burenkov, Gogatishvili, Guliyev ...
V.I. Burenkov, N.A. Kydyrmina
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Marine Anoxia and Ocean Acidification During the End‐Permian Extinction
Geophysical Monograph Series, Page 325-340., 2021 Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Ying Cui +4 more
wiley +5 more sources
High‐Pressure Na‐Ca Carbonates in the Deep Carbon Cycle
Geophysical Monograph Series, Page 127-136., 2020 This book is Open Access. A digital copy can be downloaded for free from Wiley Online Library.
Explores the behavior of carbon in minerals, melts, and fluids under extreme conditions
Carbon trapped in diamonds and carbonate-bearing rocks in subduction zones are examples of the continuing exchange of substantial carbon ...
Sergey Rashchenko +2 more
wiley +6 more sources
Logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg--de Vries equation. [PDF]
, 2012 The periodic KdV equation arises from a Hamiltonian system with infinite-dimensional phase space L^2(T). Bourgain has shown that there exists a Gibbs measure \nu on balls in the phase space such that the Cauchy problem for KdV is well posed on the ...
Blower, Gordon
core +5 more sources
On fractional Orlicz–Sobolev spaces [PDF]
Analysis and Mathematical Physics, 2021 AbstractSome recent results on the theory of fractional Orlicz–Sobolev spaces are surveyed. They concern Sobolev type embeddings for these spaces with an optimal Orlicz target, related Hardy type inequalities, and criteria for compact embeddings.
Angela Alberico +3 more
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Topology and Sobolev Spaces [PDF]
Journal of Functional Analysis, 2000 Let two compact connected oriented smooth Riemannian manifolds \(M\) and \(N\) (with or without boundary) be given. It is supposed that \(\dim M\geq 2\); the example \(N=S^1\) is of importance. Let \(W^{1,p}(M,N)\) be the Sobolev space of functions \(u\in W^{1,p} (M,\mathbb{R}^k)\) with \(u(x)\in N\) a.e.
Brezis, Haim, Li, Yanyan
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Uhlenbeck’s Decomposition in Sobolev and Morrey–Sobolev Spaces [PDF]
Results in Mathematics, 2018 We present a self-contained proof of Uhlenbeck's decomposition theorem for $Ω\in L^p(\mathbb{B}^n,so(m)\otimesΛ^1\mathbb{R}^n)$ for $p\in (1,n)$ with Sobolev type estimates in the case $p \in[n/2,n)$ and Morrey-Sobolev type estimates in the case $p\in (1,n/2)$.
Zatorska-Goldstein, Anna +1 more
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