Results 21 to 30 of about 67,051 (221)
The oscillation of separately locally Lipschitz functions
Karpatsʹkì Matematičnì Publìkacìï, 2013 We prove that a function which dened on the product of two metric Baire spaces is the oscillation of some separately locally Lipschitz function if and only if it is an upper semicontinuous non-negative function which has a crosswise nowhere dense closure
V. H. Herasymchuk, O. V. Maslyuchenko
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Locally Lipschitz continuous integrated semigroups [PDF]
Studia Mathematica, 2005 \textit{H. Kellerman} and \textit{M. Hieber} [J. Funct. Anal. 84, No. 1, 160--180 (1989; Zbl 0689.47014)] proved that every locally Lipschitz continuous once integrated semigroup is always exponentially Lipschitz continuous. In this paper, the author gives an example of a generator of locally Lipschitz continuous twice integrated semigroup which does ...
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A NEW PROOF OF CLARKE'S THEOREM
Tạp chí Khoa học Đại học Đà Lạt, 2012 In this paper, we give a new proof of the theorem of Clarke on Fritz John optimality conditions for nonsmooth optimisation problems involving locally Lipschitz functions.
Gue Myung Lee, Phạm Tiến Sơn
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Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds [PDF]
, 2011 We give a sufficient condition for a metric (homology) manifold to be locally bi-Lipschitz equivalent to an open subset in $\rn$. The condition is a Sobolev condition for a measurable coframe of flat 1-forms.
Heinonen, Juha, Keith, Stephen
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Generalizations of the Abstract Boundary singularity theorem
, 2015 The Abstract Boundary singularity theorem was first proven by Ashley and Scott. It links the existence of incomplete causal geodesics in strongly causal, maximally extended spacetimes to the existence of Abstract Boundary essential singularities, i.e ...
Ashley, Mike J. S. L. +2 more
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Existence result for hemivariational inequality involving p(x)-Laplacian [PDF]
Opuscula Mathematica, 2012 In this paper we study the nonlinear elliptic problem with \(p(x)\)-Laplacian (hemivariational inequality).We prove the existence of a nontrivial solution.
Sylwia Barnaś
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Stochastic Mean-Field Limit: Non-Lipschitz Forces \& Swarming
, 2010 We consider general stochastic systems of interacting particles with noise which are relevant as models for the collective behavior of animals, and rigorously prove that in the mean-field limit the system is close to the solution of a kinetic PDE.
Bolley, François +2 more
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Local vs. global Lipschitz geometry
, 2023 The article was reorganized and Section 3 is new.
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Local and global Lipschitz constants
Journal of Approximation Theory, 1986 Let X be a closed subset of [-1,1] which contains at least \(n+2\) points, and let \(B_ n(f)\) be the best uniform approximation to \(f\in C[X]\) from the set \(\pi_ n\) of all polynomials of degree at most n. The global Lipschitz constant of f is defined as \[ \lambda_ n(f)=\sup \{\| B_ n(f)-B_ n(g)\| /\| f-g\|:g\in C[X],g\neq f\}, \] and the strong ...
Angelos, James R +4 more
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BSDEs with terminal conditions that have bounded Malliavin derivative
, 2013 We show existence and uniqueness of solutions to BSDEs of the form $$ Y_t = \xi + \int_t^T f(s,Y_s,Z_s)ds - \int_t^T Z_s dW_s$$ in the case where the terminal condition $\xi$ has bounded Malliavin derivative.
Cheridito, Patrick, Nam, Kihun
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