Results 11 to 20 of about 103,524 (321)
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 [PDF]
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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A note on discrete maximal regularity for functional difference equations with infinite delay
Advances in Difference Equations, 2006 Using exponential dichotomies, we get maximal regularity for retarded functional difference equations. Applications on Volterra difference equations with infinite delay are shown.
Cuevas Claudio, vidal Claudio
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Nonautonomous maximal Lp-regularity under fractional Sobolev regularity in time [PDF]
Analysis & PDE, 2018 19 ...
Stephan Fackler
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A Note on the Regularity of the Two-Dimensional One-Sided Hardy-Littlewood Maximal Function [PDF]
Journal of Function Spaces, 2018 We investigate the regularity properties of the two-dimensional one-sided Hardy-Littlewood maximal operator. We point out that the above operator is bounded and continuous on the Sobolev spaces Ws,p(R2) for 0≤s≤1 and ...
Feng Liu, Lei Xu
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Compressions of Resolvents and Maximal Radius of Regularity [PDF]
, 1999 Suppose that $\lambda - T$ is left-invertible in $L(H)$ for all $\lambda \in \Omega$, where $\Omega$ is an open subset of the complex plane. Then an operator-valued function $L(\lambda)$ is a left resolvent of $T$ in $\Omega$ if and only if $T$ has an ...
Badea, C., Mbekhta, M.
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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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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
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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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Problems on averages and lacunary maximal functions [PDF]
, 2011 We prove three results concerning convolution operators and lacunary maximal functions associated to dilates of measures. First, we obtain an $H^1$ to $L^{1,\infty}$ bound for lacunary maximal operators under a dimensional assumption on the underlying ...
Seeger, Andreas, Wright, James
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