Results 21 to 30 of about 417,873 (284)
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
core +1 more source
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
doaj +1 more source
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
core +1 more source
Structure of level sets and Sard-type properties of Lipschitz maps [PDF]
, 2013 We consider certain properties of maps of class C2 from Rd to Rd−1 that are strictly related to Sard’s theorem, and we show that some of them can be extended to Lipschitz maps, while others require some additional regularity.
Bianchini, S. +8 more
core +1 more source
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
doaj +1 more source
On lower Lipschitz continuity of minimal points [PDF]
, 2000 In this paper we investigate the lower Lipschitz continuity of minimal points of an arbitrary set A depending upon a parameter u . Our results are formulated with the help of the modulus of minimality.
Bednarczuk, Ewa
core +1 more source
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
doaj +1 more source
Renormalized solutions to the continuity equation with an integrable damping term [PDF]
, 2015 We consider the continuity equation with a nonsmooth vector field and a damping term. In their fundamental paper, DiPerna and Lions (Invent Math 98:511–547, 1989) proved that, when the damping term is bounded in space and time, the equation is well posed
Spirito, Stefano +2 more
core +1 more source
A Microlocal Characterization of Lipschitz Continuity [PDF]
Publications of the Research Institute for Mathematical Sciences, 2018 We study continuous maps between differential manifolds from a microlocal point of view. In particular, we characterize the Lipschitz continuity of these maps in terms of the microsupport of the constant sheaf on their graph. Furthermore, we give lower and upper bounds on the microsupport of the graph of a continuous map and use these bounds to ...
openaire +2 more sources
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
doaj +1 more source