Results 251 to 260 of about 4,761,041 (315)
Consistent Evaluation Methods for Microfluidic Mixers. [PDF]
Micromachines (Basel)Blaschke O +4 more
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Equivalent Norms for Sobolev Spaces [PDF]
Proceedings of the American Mathematical Society, 1970 where ...
Robert Adams
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Equivalence of Sobolev Spaces [PDF]
Results in Mathematics, 2001 The paper contains the proof that certain \(L^2\)-Sobolev spaces on Riemannian manifolds with bounded curvature of all orders are equivalent. The main idea is to find suitable commutator estimates. Moreover the method is extended to Dirac-type operators.
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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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Hardy's Inequality in a Variable Exponent Sobolev Space
Georgian Mathematical Journal, 2005We show that a norm version of Hardy's inequality holds in a variable exponent Sobolev space provided the maximal operator is bounded. Our proof uses recent local versions of the inequality for a fixed exponent.
Petteri Harjulehto, P. Hst, M. Koskenoja
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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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Nemitsky operators on Sobolev spaces
Archive for Rational Mechanics and Analysis, 1973Mathematics Technical ...
Moshe Marcus, Victor J. Mizel
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On an embedding of Sobolev spaces
Mathematical Notes, 1993Using estimates of the nonincreasing rearrangement \(f^*\) in terms of the derivatives \(D^{r_ i}_ i f= \partial^{r_ i} f/\partial x^{r_ i}_ i\), the author derives imbeddings of the anisotropic space \[ W^{r_ 1,\dots, r_ n}_ p (\mathbb{R}^ n)= \bigl\{f\in L_ p(\mathbb{R}^ n);\;D^{r_ i}_ i f\in L_ p(\mathbb{R}^ n),\;i= 1,2,\dots, n\bigr\} \] into ...
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Sobolev inequalities on homogeneous spaces
Potential Analysis, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BIROLI, MARCO, MOSCO U.
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Quaestiones Mathematicae, 2005
The present paper is devoted to discrete analogues of Sobolev spaces of smooth functions. The discrete analogues that we consider are spaces of functions on vertex sets of graphs. Such spaces have applications in Graph Theory, Metric Geometry and Convex Geometry. We present known and prove some new results on Banach-space-theoretical properties of such
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The present paper is devoted to discrete analogues of Sobolev spaces of smooth functions. The discrete analogues that we consider are spaces of functions on vertex sets of graphs. Such spaces have applications in Graph Theory, Metric Geometry and Convex Geometry. We present known and prove some new results on Banach-space-theoretical properties of such
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