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The regularity of binomial edge ideals of graphs [PDF]
AUT Journal of Mathematics and Computing, 2020 In this paper, we study the Castelnuovo-Mumford regularity and the graded Betti numbers of the binomial edge ideals of some classes of graphs. Our special attention is devoted to a conjecture which asserts that the number of maximal cliques of a graph ...
Sara Saeedi Madani, Dariush Kiani
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Maximal Regularity of the Discrete Harmonic Oscillator Equation
Advances in Difference Equations, 2009 We give a representation of the solution for the best approximation of the harmonic oscillator equation formulated in a general Banach space setting, and a characterization of -maximal regularity—or well posedness—solely in terms of ...
Lizama Carlos +2 more
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Advances in Difference Equations, 2020 We consider the maximal regularity problem for a PDE of linear acoustics, named the Van Wijngaarden–Eringen equation, that models the propagation of linear acoustic waves in isothermal bubbly liquids, wherein the bubbles are of uniform radius.
Carlos Lizama, Marina Murillo-Arcila
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Journal of Function Spaces, 2020 This paper is devoted to the maximal regularity of sectorial operators in Lebesgue spaces Lp⋅ with a variable exponent. By extending the boundedness of singular integral operators in variable Lebesgue spaces from scalar type to abstract-valued type, the ...
Qinghua Zhang, Yueping Zhu, Feng Wang
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Journal of NeuroEngineering and Rehabilitation, 2020 Purpose The purpose of this study was to investigate transient bimanual effects on the force control capabilities of the paretic and non-paretic arms in individuals post stroke across submaximal and maximal force control tasks.
Hyun Joon Kim +2 more
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Semilinear Evolution Equations of Second Order via Maximal Regularity
Advances in Difference Equations, 2008 This paper deals with the existence and stability of solutions for semilinear second-order evolution equations on Banach spaces by using recent characterizations of discrete maximal regularity.
Lizama Carlos, Cuevas Claudio
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Maximal Regularity Estimates and the Solvability of Nonlinear Differential Equations
Mathematics, 2022 We study a type of third-order linear differential equations with variable and unbounded coefficients, which are defined in an infinite interval. We also consider a non-linear generalization with coefficients that depends on an unknown function.
Myrzagali Ospanov, Kordan Ospanov
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Maximal Product of Graphs under Vague Environment
Mathematical and Computational Applications, 2020 Graph models are found everywhere in natural and human made structures, including process dynamics in physical, biological and social systems. The product of graphs are appropriately used in several combinatorial applications and in the formation of ...
Behnaz Sheikh Hoseini +4 more
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Regularity of one-sided multilinear fractional maximal functions
Open Mathematics, 2018 In this paper we introduce and investigate the regularity properties of one-sided multilinear fractional maximal operators, both in continuous case and in discrete case.
Liu Feng, Xu Lei
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Endpoint regularity of discrete multilinear fractional nontangential maximal functions
Advances in Difference Equations, 2019 Given m≥1 $m\geq 1$, 0≤λ≤1 $0\leq \lambda \leq 1$, and a discrete vector-valued function f→=(f1,…,fm) $\vec{f}=(f_{1},\ldots,f_{m})$ with each fj:Zd→R $f_{j}:\mathbb{Z} ^{d}\rightarrow \mathbb{R}$, we consider the discrete multilinear fractional ...
Daiqing Zhang
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