Results 291 to 300 of about 6,775,462 (337)

Quasi‐Lipschitz condition in potential theory

Mathematische Nachrichten, 2005
AbstractThe velocity $ \vec v $ of an incompressible flow in a bounded three‐dimensional domain is represented by its vorticity $ \vec j $ with the help of an apparently new representation formula. Using this formula we prove a quasi‐Lipschitz estimate for $ \vec v $ in dependence of the supremum norm of $ \vec j $. Our quasi‐Lipschitz bound extends to
Rautmann, Reimund, Solonnikov, Vsevolod
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On the Hadamard lemma and the Lipschitz condition

Russian Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximate solutions: a Lipschitz condition

2012
J. Kurzweil
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Averaging principle for stochastic Caputo fractional differential equations with non-Lipschitz condition

Fractional Calculus and Applied Analysis, 2023
Zhongkai Guo, Xiaoying Han, Jun-Hao Hu
semanticscholar   +1 more source

Subgradient Criteria for Monotonicity, The Lipschitz Condition, and Convexity

Canadian Journal of Mathematics, 1993
AbstractLet ƒ H → (—∞,∞] be lower semicontinuous, where H is a real Hilbert space. An approach based upon nonsmooth analysis and optimization is used in order to characterize monotonicity of ƒ with respect to a cone, as well as Lipschitz behavior and constancy.
Clarke, F. H., Stern, R. J., Wolenski, P. R.   +2 more
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Observer-Based Event-Triggered Iterative Learning Consensus for Locally Lipschitz Nonlinear MASs

IEEE Transactions on Cognitive and Developmental Systems
This article aims to realize the robust tracking for nonidentical locally Lipschitz nonlinear multiagent systems (MASs) with unmeasurable states, for which an observer-based distributed event-triggered iterative learning control (ILC) framework is ...
Hongyi Li, Jinhao Luo, Hui Ma, Qi Zhou
semanticscholar   +1 more source

On the weak Lipschitz condition for quasiconformal mappings

Доклады Академии Наук / Doklady Mathematics, 2000
It is known that the continuity of the Beltrami coefficient \(\mu=\mu(z)\) of a quasiconformal mapping \(f\) of the plane does not guarantee that \(f\) is continuously differentiable. In this paper, the authors study the problem of the weak Lipschitz condition for quasiconformal mapping and, as a strengthening of a result of \textit{P. P.
Vuorinen, M., Gutlyanskij, V. Ya., Martio, O.   +2 more
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The Lipschitz condition without tears

International Journal of Mathematical Education in Science and Technology, 1991
The use of computers to find graphical solutions of ordinary differential equations (o.d.e.s.) increases the population to which we may teach the subject. At the same time it increases the importance of finding a clear and elementary way to the uniqueness problem.
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A Sufficient Condition for Lipschitz Stability of Controlled Invariant Subspaces

Mediterranean Journal of Mathematics, 2009
Peer ...
Peña Carrera, Marta, Puerta Sales, Ferran, Puerta Coll, Xavier   +2 more
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Newton’s Method under Different Lipschitz Conditions

2001
The classical Kantorovich theorem for Newton's method assumes that the derivative of the involved operator satisfies a Lipschitz condition ?F? (x0-1 [F? (x) - F? (y)] ? ? L?x - y? In this communication, we analyse the different modifications of this condition, with a special emphasis in the center-Lipschitz condition: ?F? (x0)-1 [F? (x) - F? (x0] ? ? ?(
José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández 0001   +1 more
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