Results 11 to 20 of about 103,531 (324)
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 +2 more
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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 ...
Pascal Auscher, Andreas Axelsson
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Maximal gamma-regularity [PDF]
Journal of Evolution Equations, 2012 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 ...
Jan van Neerven, Mark Veraar, Lutz Weis
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, 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 +2 more
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Non-Autonomous Maximal $L^p$-Regularity under Fractional Sobolev Regularity in Time [PDF]
Analysis & PDE, 2016 19 ...
Stephan Fackler
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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 $g \colon 2^ \to \mathbb{R}_+$ 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
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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
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Maximal Regularity for Non-autonomous Evolutionary Equations [PDF]
Integral Equations and Operator Theory, 2021 AbstractWe discuss the issue of maximal regularity for evolutionary equations with non-autonomous coefficients. Here evolutionary equations are abstract partial-differential algebraic equations considered in Hilbert spaces. The catch is to consider time-dependent partial differential equations in an exponentially weighted Hilbert space. In passing, one
Sascha Trostorff, Marcus Waurick
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On the inverse of the sum of two sectorial operators [PDF]
, 2013 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
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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
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