Results 21 to 30 of about 274,043 (302)
Maximal Regularity Estimates and the Solvability of Nonlinear Differential Equations
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
doaj +1 more source
Regularized nonmonotone submodular maximization
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 $g \colon 2^ \to \mathbb{R}_+$ is a non-monotone submodular function, $\ell \colon 2^ \to \mathbb{R}_+$ is a normalized modular function and $\mathcal{F ...
Lu, Cheng, Yang, Wenguo, Gao, Suixiang
openaire +2 more sources
On the inverse of the sum of two sectorial operators [PDF]
We study an abstract linear operator equation on a Banach space by using the inverse of the sum of two sectorial operators. We prove that the boundedness of a special type of operator valued $H^\infty$-calculus is sufficient for maximal regularity of the
Roidos, Nikolaos
core +1 more source
ОЦЕНКА МАКСИМАЛЬНОЙ РЕГУЛЯРНОСТИ ДЛЯ ДИФФЕРЕНЦИАЛЬНОГО УРАВНЕНИЯ С КОЛЕБЛЮЩИМИСЯ КОЭФФИЦИЕНТАМИ
В работе рассматривается дифференциальное уравнение второго порядка с неограниченными коэффициентами. Получены достаточные условия суммируемости с весом решения и его производных вплоть до второго порядка.
A. N. Yesbayev, K. N. Ospanov
doaj +1 more source
On Surfaces of Maximal Sectional Regularity
This paper extends and generalizes some results of arXiv:1305.2355 about homological and cohomological properties of projective surfaces of maximal sectional ...
Brodmann, Markus+3 more
openaire +4 more sources
Regularity of one-sided multilinear fractional maximal functions
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
doaj +1 more source
Existence and smoothness of solutions of a singular differential equation of hyperbolic type
This paper investigates the question of the existence of solutions to the semiperiodic Dirichlet problem for a class of singular differential equations of hyperbolic type.
M.B. Muratbekov, Ye.N. Bayandiyev
doaj +1 more source
Problems on averages and lacunary maximal functions [PDF]
We prove three results concerning convolution operators and lacunary maximal functions associated to dilates of measures. First, we obtain an $H^1$ to $L^{1,\infty}$ bound for lacunary maximal operators under a dimensional assumption on the underlying ...
Seeger, Andreas, Wright, James
core +6 more sources
On maximal parabolic regularity for non-autonomous parabolic operators [PDF]
We consider linear inhomogeneous non-autonomous parabolic problems associated to sesquilinear forms, with discontinuous dependence of time. We show that for these problems, the property of maximal parabolic regularity can be extrapolated to time ...
A.F.M. ter Elst+71 more
core +3 more sources
Adaptive Regularized Submodular Maximization
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 $p$.
Tang, Shaojie, Yuan, Jing
openaire +4 more sources