Results 71 to 80 of about 71,930 (202)
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
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Journal of Differential Geometry, 1999 The author proves a new Sobolev inequality which is stronger than its classical, Euclidean counterpart. The main theorem in the article states, in fact, that if \(f\) is a \(C^1\) function with compact support in \(\mathbb{R}^n\), then \[ {1\over n} \int_{S^{n-1}} \|\nabla_u f\|^{-n}_1du\leq c_n\| f\|^{-n}_{{n\over n-1}}, \] where \(\nabla_u f\) is the
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From Sobolev inequality to doubling [PDF]
Proceedings of the American Mathematical Society, 2015 In various analytical contexts, it is proved that a weak Sobolev inequality implies a doubling property for the underlying measure.
Korobenko, Lyudmila +2 more
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The Russian Review, EarlyView.Abstract How did World War II affect the nature and resilience of Soviet institutions and authority, especially in the extreme case of the Blockade of Leningrad? During the Blockade, Leningraders acted with great agency by engaging in the shadow trade of food and shadow talk for information and community in order to survive.
Jeffrey K. Hass, Nikita A. Lomagin
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Sharp trace Hardy–Sobolev inequalities and fractional Hardy–Sobolev inequalities
Journal of Functional Analysis, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin +5 more
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Anisotropic Sobolev inequalities [PDF]
Časopis pro pěstování matematiky, 1988 Two main results are proved. Suppose \(p_ j\geq 1\) for \(1\leq j\leq n\), \(\sum_{1\leq j\leq n}1/p_ j>1\) and \(1/q=(\sum 1/p_ j-1)/n\); then there exists a constant C such that the anisotropic Sobolev inequality \(\| u\|_ q\leq C\sum_{1\leq j\leq n}\| D_ ju\|_{p_ j}\) holds for all \(C^{\infty}\) functions u with compact support in \({\mathbb{R}}^ n\
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An Application of the Browder-Minty Theorem in a Problem of Partial Differential Equations
REMAT, 2019 In this work, we will show existence of weak solution for a semilinear elliptic problem using as main tool the Browder-Minty Theorem. First, we will make a brief introduction about basic theory of the Sobolev Spaces to support our study and provide ...
Westher Manricky Bernardes Fortunato +1 more
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On MAP Estimates and Source Conditions for Drift Identification in SDEs
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck +3 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 5897-5912, 15 May 2026.ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko +2 more
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