Results 221 to 230 of about 85,041 (264)
On the Cheeger Inequality in Carnot-Carathéodory Spaces. [PDF]
J Geom AnalKluitenberg M.
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Regularity for the Boltzmann Equation Conditional to Pressure and Moment Bounds. [PDF]
Commun Math PhysFernández-Real X +2 more
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Coral reef rehabilitation following Hurricane Irma using nano-engineered artificial reefs in Sint Maarten. [PDF]
PeerJHiggins E +4 more
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Space Quasi-Periodic Steady Euler Flows Close to the Inviscid Couette Flow. [PDF]
Arch Ration Mech AnalFranzoi L, Masmoudi N, Montalto R.
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Counterexamples to regularities for the derivative processes associated to stochastic evolution equations. [PDF]
Stoch Partial Differ EquHefter M, Jentzen A, Kurniawan R.
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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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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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