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Baillon’s Theorem on Maximal Regularity [PDF]
Acta Applicandae Mathematicae, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Greiner, Bernhard Eberhardt
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Mathematical Proceedings of the Cambridge Philosophical Society, 2003
The authors consider the inhomogeneous Cauchy problem \[ u'(t)= Au(t)+ f(t),\quad t\in [0,\tau),\quad u(0)= 0, \] where \(A\) is the generator of an analytic \(C_0\)-semigroup \(T(t)\) on a Banach space \(X\) and \(f\in L^p(0, \tau; X)\). They associate a closed operator \(A_1\) with \(A\) defined on \(\text{Rad}(X)\) and show that when \(X\) is a UMD ...
Wolfgang Arendt, Shangquan Bu
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The authors consider the inhomogeneous Cauchy problem \[ u'(t)= Au(t)+ f(t),\quad t\in [0,\tau),\quad u(0)= 0, \] where \(A\) is the generator of an analytic \(C_0\)-semigroup \(T(t)\) on a Banach space \(X\) and \(f\in L^p(0, \tau; X)\). They associate a closed operator \(A_1\) with \(A\) defined on \(\text{Rad}(X)\) and show that when \(X\) is a UMD ...
Wolfgang Arendt, Shangquan Bu
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REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
Bulletin of the London Mathematical Society, 2003The purpose of this work is to show that the fractional maximal operator has somewhat unexpected regularity properties. Our main result shows that the fractional maximal operator maps \(L^p\)-spaces boundedly into certain first-order Sobolev spaces. We also prove that the fractional maximal operator preserves first-order Sobolev spaces.
Eero Saksman, Juha Kinnunen
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On the regularity of bilinear maximal operator
Czechoslovak Mathematical Journal, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Feng, Wang, Guoru
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Regular Maximal Monotone Operators
Set-Valued Analysis, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrei Verona, Maria Elena Verona
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Counterexamples on $L_p$ -maximal regularity
Mathematische Zeitschrift, 1999We establish a transference result for \(L^p\)-maximal regularity for the abstract Cauchy problem on Banach space.
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On clustering for maximal regularity extraction
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1993The authors point out that proper usage of regularity in digital systems leads to efficient as well as economical designs. This important question of regularity extraction is examined, and a general and efficient methodology for component clustering based on the concept of structural regularity is presented.
Fadi J. Kurdahi, D.S. Rao
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Maximal Regular Subsemibands of Singn
Semigroup Forum, 2005We describe maximal regular subsemibands of the singular transformation semigroup Singn on the set Xn = {1, 2, . . . n} and obtain their complete classification We show that Singn has n(n + 1)/2 maximal regular subsemibands, and formulate the cardinal number of such subsemigroups.
Xiuliang Yang, Haobo Yang
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