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Addendum to "Maximal regularity and Hardy spaces" [PDF]
, 2008 We correct an inaccuracy in a previous article [Auscher, Pascal; Bernicot, Fr\'ed\'eric; Zhao, Jiman. Maximal regularity and Hardy spaces. Collect. Math. 59 (2008), no. 1, 103-127.
Pascal Auscher +2 more
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L p − L q $L^{p}-L^{q}$ -Maximal regularity of the Van Wijngaarden–Eringen equation in a cylindrical domain [PDF]
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
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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 $1 1$.
Carneiro, Emanuel, Moreira, Diego
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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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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 ...
Birgit Jacob +2 more
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Compressions of Resolvents and Maximal Radius of Regularity [PDF]
Transactions of the American Mathematical Society, 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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Stochastic maximal $L^p$-regularity
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 +2 more
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Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions
Advances in Nonlinear Analysis, 2017 We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor.
Al Baba Hind
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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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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
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