Results 1 to 10 of about 103,524 (321)

Stochastic maximal $L^p$-regularity [PDF]

The Annals of Probability, 2012
In this article we prove a maximal $L^p$-regularity result for stochastic convolutions, which extends Krylov's basic mixed $L^p(L^q)$-inequality for the Laplace operator on ${\mathbb{R}}^d$ to large classes of elliptic operators, both on ${\mathbb{R}}^d$
van Neerven, Jan, Veraar, Mark, Weis, Lutz   +2 more
core   +4 more sources

Discrete stochastic maximal regularity. [PDF]

Math Ann
In this paper, we investigate discrete regularity estimates for a broad class of temporal numerical schemes for parabolic stochastic evolution equations. We provide a characterization of discrete stochastic maximal $\ell^p$-regularity in terms of its continuous counterpart, thereby establishing a unified framework that yields numerous new discrete ...
Evangelopoulos-Ntemiris F, Veraar M.
europepmc   +3 more sources

Maximal regularity and Hardy spaces

Collectanea mathematica, 2007
In this work, we consider the Cauchy problem for $u' - Au = f$ with $A$ the Laplacian operator on some Riemannian manifolds or a sublapacian on some Lie groups or some second order elliptic operators on a domain.
Auscher, Pascal, Bernicot, Frédéric, Zhao, Jiman   +2 more
core   +6 more sources

Maximal Regularity [PDF]

, 2021
AbstractIn this chapter, we address the issue of maximal regularity. More precisely, we provide a criterion on the ‘structure’ of the evolutionary equation $$\displaystyle \left (\overline {\partial _{t,\nu }M(\partial _{t,\nu })+A}\right )U=F $$
Christian Seifert, Sascha Trostorff, Marcus Waurick   +2 more
openaire   +1 more source

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 $g \colon 2^ \to \mathbb{R}_+$ 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

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
doaj   +1 more source

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, Castro Airton, Cuevas Claudio   +2 more
doaj   +2 more sources

L p − L q $L^{p}-L^{q}$ -Maximal regularity of the Van Wijngaarden–Eringen equation in a cylindrical domain

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
doaj   +1 more source

Boundedness of Singular Integral Operators with Operator-Valued Kernels and Maximal Regularity of Sectorial Operators in Variable Lebesgue Spaces

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
doaj   +1 more source

Transient changes in paretic and non-paretic isometric force control during bimanual submaximal and maximal contractions

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, Nyeonju Kang, James H. Cauraugh   +2 more
doaj   +1 more source