Results 21 to 30 of about 10,912 (293)
Maximal regularity for non-autonomous Cauchy problems in weighted spaces
Electronic Journal of Differential Equations, 2020 We consider the regularity for the non-autonomous Cauchy problem $$ u'(t) + A(t) u(t) = f(t)\quad (t \in [0, \tau]), \quad u(0) = u_0. $$ The time dependent operator A(t) is associated with (time dependent) sesquilinear forms on a Hilbert space ...
Achache Mahdi, Tebbani Hossni
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Adaptive Regularized Submodular Maximization
CoRR, 2021 In this paper, we study the problem of maximizing the difference between an adaptive submodular (revenue) function and an non-negative modular (cost) function under the adaptive setting. The input of our problem is a set of $n$ items, where each item has a particular state drawn from some known prior distribution $p$.
Shaojie Tang 0001, Jing Yuan 0002
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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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Regularized nonmonotone submodular maximization
Optimization, 2023 In this paper, we present a thorough study of maximizing a regularized non-monotone submodular function subject to various constraints, i.e., $\max \{ g(A) - \ell(A) : A \in \mathcal{F} \}$, where $g \colon 2^Ω\to \mathbb{R}_+$ is a non-monotone submodular function, $\ell \colon 2^Ω\to \mathbb{R}_+$ is a normalized modular function and $\mathcal{F}$ is
Cheng Lu, Wenguo Yang, Suixiang Gao
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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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Regularized Submodular Maximization at Scale
CoRR, 2020 In this paper, we propose scalable methods for maximizing a regularized submodular function $f = g - \ell$ expressed as the difference between a monotone submodular function $g$ and a modular function $\ell$. Indeed, submodularity is inherently related to the notions of diversity, coverage, and representativeness.
Ehsan Kazemi 0001 +3 more
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