Results 11 to 20 of about 102,383 (324)
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
doaj +2 more sources
A characterization of regular maximal ideals [PDF]
Pacific Journal of Mathematics, 1969 We show that if A is generated by a single element then a closed subspace M of codimension one in A and satisfying (1) is a regular maximal ideal and we show by an example that this result may fail for an algebra which is generated two elements. We have results related to the above, which can be applied to Lι(G), where G is a locally compact abelian ...
Warner, C. Robert, Whitley, Robert
openaire +2 more sources
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
Remarks on Maximal Regularity [PDF]
, 2011 We prove weighted estimates for the maximal regularity operator. Such estimates were motivated by boundary value problems. We take this opportunity to study a class of weak solutions to the abstract Cauchy problem. We also give a new proof of maximal regularity for closed and maximal accretive operators following from Kato's inequality for fractional ...
Auscher, Pascal, Axelsson, Andreas
openaire +2 more sources
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
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
doaj +1 more source
Maximal $${\gamma}$$ γ -regularity
Journal of Evolution Equations, 2015 In this paper we prove maximal regularity estimates in "square function spaces" which are commonly used in harmonic analysis, spectral theory, and stochastic analysis. In particular, they lead to a new class of maximal regularity results for both deterministic and stochastic equations in $L^p$-spaces with ...
van Neerven, Jan +2 more
openaire +2 more sources
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
doaj +1 more source
On maximal parabolic regularity for non-autonomous parabolic operators [PDF]
, 2016 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
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
doaj +2 more sources