Results 11 to 20 of about 417,873 (284)
Lipschitz Continuity of the Solution Mapping of Symmetric Cone Complementarity Problems [PDF]
Abstract and Applied Analysis, 2012 This paper investigates the Lipschitz continuity of the solution mapping of symmetric cone (linear or nonlinear) complementarity problems (SCLCP or SCCP, resp.) over Euclidean Jordan algebras. We show that if the transformation has uniform Cartesian P-
Xin-He Miao, Jein-Shan Chen
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Hyperbolically Bi-Lipschitz Continuity for -Harmonic Quasiconformal Mappings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We study the class of -harmonic -quasiconformal mappings with angular ranges. After building a differential equation for the hyperbolic metric of an angular range, we obtain the sharp bounds of their hyperbolically partial derivatives, determined by the ...
Xingdi Chen
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Continuity and Lipschitz constants for projections [PDF]
The Journal of Logic and Algebraic Programming, 2010 Constructive proofs of some results from best approximation theory and properties of metric projections are given. For example, let \(Y\) be a locally compact subset of a complete metric space \(X\) such that each \(x \in X\) has a unique best approximation in \(Y\). Then the projection of \(X\) onto \(Y\) is sequentially continuous.
Bridges, Douglas S.
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Lipschitz Continuity of Polyhedral Skorokhod Maps [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2001 We show that a special stability condition of the associated system of oblique projections (the so-called \ell -paracontractivity) guarantees that the corresponding polyhedral Skorokhod problem in a Hilbert space X is solvable in the ...
Krejčí, Pavel +1 more
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Lipschitz Continuity Retained Binary Neural Network [PDF]
, 2022 Relying on the premise that the performance of a binary neural network can be largely restored with eliminated quantization error between full-precision weight vectors and their corresponding binary vectors, existing works of network binarization ...
Shang, Yuzhang +5 more
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Exponential self-similar mixing and loss of regularity for continuity equations [PDF]
, 2014 We consider the mixing behaviour of the solutions of the continuity equation associated with a divergence-free velocity eld. In this announcement we sketch two explicit examples of exponential decay of the mixing scale of the solution, in case of Sobolev
Crippa, Gianluca +5 more
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Strong continuity for the 2D Euler equations [PDF]
, 2015 We prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential continuity and holds for a general bounded solution.
Spirito, Stefano +2 more
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Non-uniqueness and prescribed energy for the continuity equation [PDF]
, 2015 In this note, we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed ...
Gusev, Nikolay +3 more
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Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains [PDF]
, 2002 Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea +3 more
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Continuity of extensions of Lipschitz maps [PDF]
, 2021 We establish the sharp rate of continuity of extensions of ℝm-valued 1-Lipschitz maps from a subset A of ℝn to a 1-Lipschitz maps on ℝn. We consider several cases when there exists a 1-Lipschitz extension with preserved uniform distance to a given 1 ...
Ciosmak, Krzysztof
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