Results 41 to 50 of about 32,191 (193)
, 2016 We consider the fractional Laplacian operator $(-\Delta)^s$ (let $ s \in (0,1) $) on Euclidean space and investigate the validity of the classical integration-by-parts formula that connects the $ L^2(\mathbb{R}^d) $ scalar product between a function and ...
Muratori, Matteo
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Sharp affine weighted L 2 Sobolev inequalities on the upper half space
Advanced Nonlinear StudiesWe establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
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, 2023 We introduce weighted Riesz bounded variation spaces defined on an open subset of the $n$-dimensional Euclidean space and use them to characterize weighted Sobolev spaces when the weight belongs to the Muckenhoupt class. As an application, using Rubio de Francia's extrapolation theory, a similar characterization of the variable exponent Sobolev spaces ...
Cruz-Uribe, David +2 more
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Computing Skinning Weights via Convex Duality
Computer Graphics Forum, EarlyView.We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley +1 more source
G-Expectation Weighted Sobolev Spaces, Backward SDE and Path Dependent PDE [PDF]
, 2014 We introduce a new notion of G-expectation-weighted Sobolev spaces, or in short, G-Sobolev spaces, and prove that a backward SDEs driven by G-Brownian motion are in fact path dependent PDEs in the corresponding Sobolev spaces under G-norms.
Peng, Shige, Song, Yongsheng
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Strong solutions of the thin film equation in spherical geometry
, 2017 We study existence and long-time behaviour of strong solutions for the thin film equation using a priori estimates in a weighted Sobolev space. This equation can be classified as a doubly degenerate fourth-order parabolic and it models coating flow on ...
A Burchard +11 more
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Lq-differentials for weighted Sobolev spaces.
Michigan Mathematical Journal, 2000 The author generalizes the well known theorem (Calderón, Zygmund) about \(L^q\)-differentials of Sobolev functions to functions from weighted Sobolev spaces.
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Petrography and mineral chemistry of Northeast Africa 053—A remnant of Martian crystal mush
Meteoritics &Planetary Science, EarlyView.Abstract In Earth's igneous systems, crystal mushes, crystal‐rich frameworks permeated by silicate melt, represent a common and fundamental stage in the evolution of magma bodies. However, whether crystal mushes occur within Martian igneous systems and play a comparable role is unknown. Here, we present a comprehensive petrography and mineral chemistry
Xhonatan Shehaj +2 more
wiley +1 more source
Journal of Mathematics, 2013 We study a mixed problem with an integral two-space-variables condition for parabolic equation with the Bessel operator. The existence and uniqueness of the solution in functional weighted Sobolev space are proved. The proof is based on a priori estimate
Bouziani Abdelfatah +2 more
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ON AN OPTIMAL STARTING CONTROL PROBLEM FOR DEGENERATE PARABOLIC EQUATION
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013 An optimal control problem for degenerate parabolic equation with mixed boundary conditions are considered. Having applied the Hardy - Poincare inequality, it is shown that this problem has a unique optimal solution in the correspondence weighted Sobolev
I. G. Balanenko, P. I. Kogut
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