Results 131 to 140 of about 4,279 (247)
Approximation of continuous functions by Lipschitz functions
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ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu +2 more
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Lipschitz functions and convolution
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Is the maximal function of a Lipschitz function continuous?
We examine the action of the maximal operator \(M\) on Lipschitz and Hölder functions in the context of homogeneous spaces. It is shown that in spaces satisfying a so-called annular decay property, \(M\) maps spaces of Hölder type to other spaces of Hölder type (the Hölder index is preserved if small enough).
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A Posteriori Estimates For A Coupled Piezoelectric Model With Uncertain Data
ABSTRACT The paper is concerned with a coupled piezo‐electric problem with incompletely known coefficients of the elasticity tensor and two other tensors that define electric properties of the media. Due to this uncertainty, the problem possesses a set (cloud) of equally probable solutions instead of a unique solution.
S. Repin, T. Samrowski
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Fixed-point topology meets fractal memory: a Kutumba-stabilized framework for nonlocal fractal-fractional dynamics. [PDF]
Devi RA +6 more
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Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data
Abstract In this study, a fractional‐order SEIuITR $SE{I}_{u}ITR$ model was proposed to examine the transmission of tuberculosis (TB) in the community. The proposed model was rigorously examined for well‐posedness. The basic reproduction number was also derived, and the disease‐free equilibrium was obtained.
Kumama Regassa Cheneke +2 more
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Parabolic PDEs with Dynamic Data under a Bounded Slope Condition. [PDF]
Bögelein V, Duzaar F, Treu G.
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Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
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Generalization bounds for a generator-regularized InfoGAN-inspired adversarial objective. [PDF]
Hasan M, Muia MN, Islam MM.
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