Results 1 to 10 of about 101,397 (323)
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 ...
Cătălin Badea, Mostafa Mbekhta
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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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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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Maximal Regularity of the Discrete Harmonic Oscillator Equation
Advances in Difference Equations, 2009 We give a representation of the solution for the best approximation of the harmonic oscillator equation formulated in a general Banach space setting, and a characterization of -maximal regularity—or well posedness—solely in terms of ...
Lizama Carlos +2 more
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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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Journal of Function Spaces, 2020 This paper is devoted to the maximal regularity of sectorial operators in Lebesgue spaces Lp⋅ with a variable exponent. By extending the boundedness of singular integral operators in variable Lebesgue spaces from scalar type to abstract-valued type, the ...
Qinghua Zhang, Yueping Zhu, Feng Wang
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Journal of NeuroEngineering and Rehabilitation, 2020 Purpose The purpose of this study was to investigate transient bimanual effects on the force control capabilities of the paretic and non-paretic arms in individuals post stroke across submaximal and maximal force control tasks.
Hyun Joon Kim +2 more
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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 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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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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