Results 31 to 40 of about 4,580 (209)
Analysis and Geometry in Metric Spaces, 2014 We characterize Carnot groups admitting a 1-quasiconformal metric inversion as the Lie groups of Heisenberg type whose Lie algebras satisfy the J2-condition, thus characterizing a special case of inversion invariant bi-Lipschitz homogeneity.
Freeman David M.
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
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Uniqueness for retarded delay differential equations without Lipschitz condition
Electronic Journal of Qualitative Theory of Differential Equations, 2008 Consider the equation $\dot x(t)=f(t, x(t), x(t-r(t)))$ with the initial condition $x_{0}=\phi$. Here $f$ is a continuous real function, but it does not satisfy other regularity conditions.
M. Bartha, J. Terjéki
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High‐Order Projection‐Based Upwind Method for Simulation of Transitional Turbulent Flows
International Journal for Numerical Methods in Fluids, EarlyView.In this study, we evaluated the implicit large‐eddy simulation capabilities of the mass‐conserving mixed stress method for transitional turbulent flows and proposed an efficient solution method for large‐scale applications. The results presented in this work show promising outcomes for incompressible aerodynamic flow problems, which can be further ...
Philip L. Lederer +2 more
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Regularity Estimates for Fully Nonlinear Dead‐Core Problems With a Hamiltonian Term
Mathematische Nachrichten, EarlyView.ABSTRACT In this paper, we present a problem involving fully nonlinear elliptic operators with Hamiltonian, which can present a singularity or degenerate as the gradient approaches the origin. The model studied here, allows the appearance of plateau zones, i.e., unknown regions of the domain in which the non‐negative solutions vanishes.
Rafael R. Costa, Ginaldo S. Sá
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Qualitative Lipschitz to bi-Lipschitz decomposition
Analysis and Geometry in Metric SpacesWe prove that any Lipschitz map that satisfies a condition inspired by the work of G. David may be decomposed into countably many bi-Lipschitz pieces.
Bate David
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Abstract and Applied Analysis, 2013 We first introduce the new real function class ℱ satisfying an implicit Lipschitz-type condition. Then, by using ℱ-type real functions, some common fixed point theorems for a pair of self-mappings satisfying an implicit Lipschitz-type condition in fuzzy ...
Ming-Liang Song, Xiu-Juan Zhu
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Comptes Rendus. Mathématique, 2020 We prove a uniqueness result of the unbounded solution for a quadratic backward stochastic differential equation whose terminal condition is unbounded and whose generator $g$ may be non-Lipschitz continuous in the state variable $y$ and non-convex (non ...
Fan, Shengjun, Hu, Ying, Tang, Shanjian
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Boundedness of Composition Operators in Orlicz–Morrey Spaces
Mathematische Nachrichten, EarlyView.ABSTRACT In this paper, we investigate the necessary and sufficient conditions for the boundedness of composition operators on Orlicz–Morrey spaces. Our results encompass Lebesgue and generalized Morrey spaces as special cases. In addition, we characterize the boundedness of composition operators on weak Orlicz–Morrey spaces, which include the Orlicz ...
Masahiro Ikeda +2 more
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Multivalued Impulsive SDEs Driven by G-Brownian Noise: Periodic Averaging Result
Complexity, 2022 This paper aims to study two approximation theorems in view of the periodic averaging results for non-Lipschitz multivalued stochastic differential equations with impulses and G-Brownian motion (MISDEGs).
Mahmoud Abouagwa +4 more
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