Results 21 to 30 of about 2,732 (239)
On the Solution of Equations by Extended Discretization
Computation, 2020 The method of discretization is used to solve nonlinear equations involving Banach space valued operators using Lipschitz or Hölder constants. But these constants cannot always be found.
Gus I. Argyros +4 more
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McShane-Whitney extensions in constructive analysis [PDF]
Logical Methods in Computer Science, 2020 Within Bishop-style constructive mathematics we study the classical McShane-Whitney theorem on the extendability of real-valued Lipschitz functions defined on a subset of a metric space.
Iosif Petrakis
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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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Mathematics, 2021 In this paper, we consider a class of mathematical programs with switching constraints (MPSCs) where the objective involves a non-Lipschitz term. Due to the non-Lipschitz continuity of the objective function, the existing constraint qualifications for ...
Jinman Lv, Zhenhua Peng, Zhongping Wan
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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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On Lipschitz Continuous Optimal Stopping Boundaries [PDF]
SIAM Journal on Control and Optimization, 2019 We obtain a probabilistic proof of the local Lipschitz continuity for the optimal stopping boundary of a class of problems with state space $[0,T]\times\mathbb{R}^d$, $d\ge 1$. To the best of our knowledge this is the only existing proof that relies exclusively upon stochastic calculus, all the other proofs making use of PDE techniques and integral ...
Tiziano De Angelis, Gabriele Stabile
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Solution regularity and co-normal derivatives for elliptic systems with non-smooth coefficients on Lipschitz domains [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 ElsevierElliptic PDE systems of the second order with coefficients from L∞ or Holder-Lipschitz spaces are considered in ...
Mikhailov, SE
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The Lipschitz continuity of the metric projection [PDF]
, 1979 We investigate the Lipschitz continuity of the best approximation operator from a Hilbert (Banach) space into an approximatively compact subset. We study the notion of directional radius of curvature and show how the Lipschitz continuity of the metric ...
Abatzoglou, Theagenis
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