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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 field. In this announcement we sketch two explicit examples of exponential decay of the mixing scale of the solution, in case of ...
Alberti, Giovanni +2 more
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Abstract and Applied Analysis, 2022 In this paper, we establish a generalization of the Galewski-Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces.
Guy Degla +2 more
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Convergence rate of the modified Levenberg-Marquardt method under Hölderian local error bound
Open Mathematics, 2022 In this article, we analyze the convergence rate of the modified Levenberg-Marquardt (MLM) method under the Hölderian local error bound condition and the Hölderian continuity of the Jacobian, which are more general than the local error bound condition ...
Zheng Lin, Chen Liang, Tang Yangxin
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Hyperbolically Bi-Lipschitz Continuity for -Harmonic Quasiconformal Mappings
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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Some Regularity Properties on Bolza problems in the Calculus of Variations
Comptes Rendus. Mathématique, 2022 The paper summarizes the main core of the last results that we obtained in [8, 4, 17] on the regularity of the value function for a Bolza problem of a one-dimensional, vectorial problem of the calculus of variations. We are concerned with a nonautonomous
Bernis, Julien +2 more
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Regularity results for a quasilinear free boundary problem
Mathematical Modelling and Analysis, 2020 In this paper we prove local interior and boundary Lipschitz continuity of the solutions of a quasilinear free boundary problem. We also show that the free boundary is the union of graphs of lower semi-continuous functions.
Samia Challal, Abdeslem Lyaghfouri
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About the Subgradient Method for Equilibrium Problems
MathematicsConvergence results of the subgradient algorithm for equilibrium problems were mainly obtained using a Lipschitz continuity assumption on the given bifunctions. In this paper, we first provide a complexity result for monotone equilibrium problems without
Abdellatif Moudafi
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Notes on Lipschitz Properties of Nonlinear Scalarization Functions with Applications
Abstract and Applied Analysis, 2014 Various kinds of nonlinear scalarization functions play important roles in vector optimization. Among them, the one commonly known as the Gerstewitz function is good at scalarizing.
Fang Lu, Chun-Rong Chen
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CONTROL DIFFUSION PROCESSES WITH LIPSCHITZ CONTINUITY OF DRIFTS
Jurnal Matematika, 2012 Control diffusion processes has been found in a wide field of applications as in stochastic optimal control and in mathematical finance via the theory of hedging and nonlinear pricing theory for imperfect markets.
Komang Dharmawan
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NON-ARCHIMEDEAN YOMDIN–GROMOV PARAMETRIZATIONS AND POINTS OF BOUNDED HEIGHT
Forum of Mathematics, Pi, 2015 We prove an analog of the Yomdin–Gromov lemma for $p$-adic definable sets and more broadly in a non-Archimedean definable context. This analog keeps track of piecewise approximation by Taylor polynomials, a nontrivial aspect in the totally disconnected ...
RAF CLUCKERS +2 more
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