Results 21 to 30 of about 560,829 (251)
Journal of Approximation Theory, 1985 Let X be a closed subset of \(I=[-1,1]\). For \(f\in C[X]\), the local Lipschitz constant is defined to be \(\lambda_{n\delta}(f)=\sup \{\| B_ n(f)-B_ n(g)\| /\| f-g ...
Angelos, James R +3 more
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On locally Lipschitz locally compact transformation groups of manifolds [PDF]
, 2007 summary:In this paper we show that a “locally Lipschitz” locally compact transformation group acting continuously and effectively on a connected paracompact locally Euclidean topological manifold is a Lie group. This is a contribution to the proof of the
George Michael, A. A.
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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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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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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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Regularity of Generalized Mean-Field G-SDEs
MathematicsWe study the regularity properties of the unique solution of a generalized mean-field G-SDE. More precisely, we consider a generalized mean-field G-SDE with a square-integrable random initial condition, establish its first- and second-order Fréchet ...
Karl-Wilhelm Georg Bollweg +1 more
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On the Dynamics of Abstract Retarded Evolution Equations
Abstract and Applied Analysis, 2013 This paper is concerned with the dynamics of the following abstract retarded evolution equation: in a Hilbert space , where is a self-adjoint positive-definite operator with compact resolvent and is a locally Lipschitz continuous mapping.
Desheng Li, Jinying Wei, Jintao Wang
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The Frobenius Theorem for Log-Lipschitz Subbundles [PDF]
, 2023 We extend the definition of involutivity to non-Lipschitz tangent subbundles using generalized functions. We prove the Frobenius Theorem with sharp regularity estimate when the subbundle is log-Lipschitz: if $\mathcal V$ is a log-Lipschitz involutive ...
Yao, Liding
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Existence and multiplications of solutions for a class of equation with a non-smooth potential [PDF]
Journal of Hyperstructures, 2015 This paper deals with the existence and multiplicity of solutions for a class of nonlocal p−Kirchhoff problem. Using the mountain pass theorem and fountain theorem, we establish the existence of at least one solution and infinitely many solutions for a ...
Fariba Fattahi, M. Alimohammady
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Asymptotic Behaviour of the Three-Dimensional Á-Navier-Stokes Model with Locally Lipschitz Delay Forcing Terms [PDF]
, 2009 We obtain some results on the existence and uniqueness, and exponential stability of solutions for the three-dimensional ®¡Navier-Stokes model with delays, when the forcing term containing the delay is sub-linear and locally Lipschitz ...
Márquez Durán, Antonio Miguel +5 more
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