Results 11 to 20 of about 10,912 (293)
Maximal Regularity for Nonautonomous Evolution Equations [PDF]
Advanced Nonlinear Studies, 2004 Abstract We derive sufficient conditions, perturbation theorems in particular, for nonautonomous evolution equations to possess the property of maximal L p regularity.
H Amann
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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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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
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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
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Discrete stochastic maximal regularity. [PDF]
Math AnnAbstract 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 $$\ell ^p$$
Evangelopoulos-Ntemiris F, Veraar M.
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On the regularity of maximal operators [PDF]
Proceedings of the American Mathematical Society, 2008 We study the regularity of the bilinear maximal operator when applied to Sobolev functions, proving that it maps $W^{1,p}(\mathbb{R}) \times W^{1,q}(\mathbb{R}) \to W^{1,r}(\mathbb{R})$ with $1 1$. We also investigate the almost everywhere and weak convergence under the action of the classical Hardy-Littlewood maximal operator, both in its global and ...
Carneiro, Emanuel, Moreira, Diego
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Maximal regularity and hardy spaces
Collectanea mathematica, 2008 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. We show the boundedness of the operator of maximal regularity $f\mapsto Au$ and its adjoint on appropriate Hardy spaces which we define and ...
Auscher, Pascal +2 more
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A refinement of Baillon’s theorem on maximal regularity [PDF]
Studia Mathematica, 2022 By Baillon's result, it is known that maximal regularity with respect to the space of continuous functions is rare; it implies that either the involved semigroup generator is a bounded operator or the considered space contains $c_{0}$. We show that the latter alternative can be excluded under a refined condition resembling maximal regularity with ...
Jacob, Birgit +2 more
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Stochastic maximal Lp-regularity
Annals of Probability, 2012 Published in at http://dx.doi.org/10.1214/10-AOP626 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Jan van Neerven +2 more
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On maximal regularity for a class of evolutionary equations
Journal of Mathematical Analysis and Applications, 2017 The issue of so-called maximal regularity is discussed within a Hilbert space framework for a class of evolutionary equations. Viewing evolutionary equations as a sums of two unbounded operators, showing maximal regularity amounts to establishing that the operator sum considered with its natural domain is already closed.
Rainer Picard +2 more
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