Results 31 to 40 of about 102,383 (324)
Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal Functions
Journal of Function Spaces, 2020 In this paper, the regularity properties of two classes of commutators of the one-sided Hardy-Littlewood maximal functions and their fractional variants are investigated.
Daiqing Zhang
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ОЦЕНКА МАКСИМАЛЬНОЙ РЕГУЛЯРНОСТИ ДЛЯ ДИФФЕРЕНЦИАЛЬНОГО УРАВНЕНИЯ С КОЛЕБЛЮЩИМИСЯ КОЭФФИЦИЕНТАМИ
Вестник КазНУ. Серия математика, механика, информатика, 2021 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
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Existence and smoothness of solutions of a singular differential equation of hyperbolic type
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 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
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AxiomsThe Monge–Ampère operator, as a nonlinear operator embedded in parabolic differential equations, complicates the demonstration of maximal regularity for these equations.
Xingyu Liu
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Evolution Equations governed by Lipschitz Continuous Non-autonomous Forms [PDF]
, 2014 We prove $L^2$-maximal regularity of linear non-autonomous evolutionary Cauchy problem \begin{equation}\label{eq00}\nonumber \dot{u} (t)+A(t)u(t)=f(t) \hbox{ for }\ \hbox{a.e.
Laasri, Hafida, Sani, Ahmed
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On Surfaces of Maximal Sectional Regularity
Taiwanese Journal of Mathematics, 2017 We study projective surfaces $X \subset \mathbb{P}^r$ (with $r \geq 5$) of maximal sectional regularity and degree $d > r$, hence surfaces for which the Castelnuovo-Mumford regularity $\reg(\mathcal{C})$ of a general hyperplane section curve $\mathcal{C} = X \cap \mathbb{P}^{r-1}$ takes the maximally possible value $d-r+3$. We use the classification
Brodmann, Markus +3 more
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Maximal regularity for non-autonomous Robin boundary conditions
, 2015 We consider a non-autonomous Cauchy problem involving linear operators associated with time-dependent forms $a(t;.,.):V\times V\to {\mathbb{C}}$ where $V$ and $H$ are Hilbert spaces such that $V$ is continuously embedded in $H$.
Arendt, Wolfgang, Monniaux, Sylvie
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Time Fractional Derivatives and Evolution Equations
Bruno Pini Mathematical Analysis Seminar, 2017 In this seminar we introduce the fractional derivatives of Riemann-Liouville and Caputo, with some of their main properties. We conclude by illustrating certain results of maximal regularity for mixed initial-boundary value problems, evolving them.
Davide Guidetti
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Regularity for commutators of the local multilinear fractional maximal operators
Advances in Nonlinear Analysis, 2020 In this paper we introduce and study the commutators of the local multilinear fractional maximal operators and a vector-valued function b⃗ = (b1, …, bm). Under the condition that each bi belongs to the first order Sobolev spaces, the bounds for the above
Zhang Xiao, Liu Feng
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Molecular Oncology, EarlyView.PARP inhibitors are used to treat a small subset of prostate cancer patients. These studies reveal that PARP1 activity and expression are different between European American and African American prostate cancer tissue samples. Additionally, different PARP inhibitors cause unique and overlapping transcriptional changes, notably, p53 pathway upregulation.
Moriah L. Cunningham +21 more
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