Results 191 to 200 of about 2,233 (221)
An additive-noise approximation to Keller-Segel-Dean-Kawasaki dynamics: local well-posedness of paracontrolled solutions. [PDF]
Stoch Partial Differ EquMartini A, Mayorcas A.
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On approximation numbers of Sobolev embeddings of weighted function spaces
Journal of Approximation Theory, 2005 We investigate asymptotic behaviour of approximation numbers of Sobolev embeddings between weighted function spaces of Sobolev–Hardy–Besov type with polynomials weights.
Leszek Skrzypczak
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Elliptic equations with nonzero boundary conditions in weighted Sobolev spaces
Journal of Mathematical Analysis and Applications, 2008 We present weighted Sobolev spaces H˜p,θγ(Ω) along with a trace theorem and an interpolation theorem for the spaces. Then we solve nonzero boundary value problems for elliptic equations in H˜p,θγ(Ω)
Doyoon Kim
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EMBEDDING THEOREM OF THE WEIGHTED SOBOLEV–LORENTZ SPACES
Glasgow Mathematical Journal, 2021AbstractWeight criteria for embedding of the weighted Sobolev–Lorentz spaces to the weighted Besov–Lorentz spaces built upon certain mixed norms and iterated rearrangement are investigated. This gives an improvement of some known Sobolev embedding. We achieve the result based on different norm inequalities for the weighted Besov–Lorentz spaces defined ...
Li, Hongliang +2 more
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Canadian Journal of Mathematics, 1996
AbstractWe study density and extension problems for weighted Sobolev spaces on bounded (ε, δ) domains𝓓when a doubling weight w satisfies the weighted Poincaré inequality on cubes near the boundary of 𝓓 and when it is in the MuckenhouptApclass locally in 𝓓. Moreover, when the weightswi(x) are of the form dist(x,Mi)αi,αi∈ ℝ,Mi⊂ 𝓓that are doubling, we are
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AbstractWe study density and extension problems for weighted Sobolev spaces on bounded (ε, δ) domains𝓓when a doubling weight w satisfies the weighted Poincaré inequality on cubes near the boundary of 𝓓 and when it is in the MuckenhouptApclass locally in 𝓓. Moreover, when the weightswi(x) are of the form dist(x,Mi)αi,αi∈ ℝ,Mi⊂ 𝓓that are doubling, we are
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Nonlinear Elliptic Equations on Weighted Sobolev Space
Mathematical Notes, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumari, Rupali, Kar, Rasmita
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Sbornik: Mathematics, 1998
Summary: The case when smooth functions are not dense in a weighted Sobolev space \(W\) is considered. New examples of the inequality \(H\neq W\) (where \(H\) is the closure of the space of smooth functions) are presented. We pose the problem of `viscosity' or `attainable' spaces \(V\) (that is, spaces that are in a certain sense limits of weighted ...
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Summary: The case when smooth functions are not dense in a weighted Sobolev space \(W\) is considered. New examples of the inequality \(H\neq W\) (where \(H\) is the closure of the space of smooth functions) are presented. We pose the problem of `viscosity' or `attainable' spaces \(V\) (that is, spaces that are in a certain sense limits of weighted ...
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Spaces Associated with Weighted Sobolev Spaces on the Real Line
Doklady Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Prokhorov, D. V. +2 more
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Null-Sets Criteria for Weighted Sobolev Spaces
Journal of Mathematical Sciences, 2003The authors give functional, capacity and metric characterizations of null sets on weighted Sobolev spaces \(L^1_{p,w}(G)\), with \(G\) an open subset of the \(n\)-dimensional Euclidean space. The weights are the usual Muckenhoupt \(A_p\) weights, and the norm on \(L^1_{p,w}(G)\) is given by \[ \int_G | \nabla u| ^p w \, dx.
Demshin, I. N. +2 more
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