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Differentiability of Hölder-continuous semigroups [PDF]

open access: yesProceedings of the American Mathematical Society, 1969
1. A semigroup is a mapping u: R+-+A of the positive half line into an algebra with unit such that u(O) = 1, u(s+t) =u(s)u(t). We assume that A is a b-algebra. The semigroup is differentiable if u is a differentiable mapping of R+ into A. It is Holder-continuous if some p>0 exists such that (u(t) 1)/tP is bounded on some neighborhood of zero.
openaire   +2 more sources

Linearization and Hölder continuity for nonautonomous systems [PDF]

open access: yesJournal of Differential Equations, 2021
Revised version.
Lucas Backes   +2 more
openaire   +4 more sources

On the regularity of American options with regime-switching uncertainty [PDF]

open access: yes, 2017
We study the regularity of the stochastic representation of the solution of a class of initial-boundary value problems related to a regime-switching diffusion.
Jacka, S. D., Ocejo, A.
core   +2 more sources

Approximation of SPDEs with Holder Continuous Drifts

open access: yes, 2017
In this paper, exploiting the regularities of the corresponding Kolmogorov equations involved we investigate strong convergence of exponential integrator scheme for a range of stochastic partial differential equations, in which the drift term is Hölder continuous, and reveal the rate of convergence.
Bao, Jianhai   +2 more
openaire   +2 more sources

Fractional integrals and hypersingular integrals in variable order Hölder spaces on homogeneous spaces

open access: yesJournal of Function Spaces and Applications, 2010
We consider non-standard Hölder spaces Hλ(⋅)(X) of functions f on a metric measure space (X, d, μ), whose Hölder exponent λ(x) is variable, depending on x ∈ X.
Natasha Samko   +2 more
doaj   +1 more source

Hölder Continuity of a Parametric Generalized Variational Inequality

open access: yesAbstract and Applied Analysis, 2014
By using the classic metric projection method, we obtain sufficient conditions for Hölder continuity of the nonunique solution mapping for a parametric generalized variational inequality with respect to data perturbation. The result is different from the
Li-na Wang, Xiao-bing Li
doaj   +1 more source

Optimal partial regularity of very weak solutions to nonhomogeneous A-harmonic systems

open access: yesJournal of Inequalities and Applications, 2017
We study partial regularity of very weak solutions to some nonhomogeneous A-harmonic systems. To obtain the reverse Hölder inequality of the gradient of a very weak solution, we construct a suitable test function by Hodge decomposition.
Qing Zhao, Shuhong Chen
doaj   +1 more source

Holder continuity of absolutely continuous spectral measures for one-frequency Schrodinger operators

open access: yes, 2009
We establish sharp results on the modulus of continuity of the distribution of the spectral measure for one-frequency Schrodinger operators with Diophantine frequencies in the region of absolutely continuous spectrum.
A. Avila   +19 more
core   +1 more source

Holder Continuity of Quasiconformal Mappings of the Unit Ball [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
The authors obtain a modified form of Gehring’s Hölder-continuity theorem for the family of K K -quasiconformal self-mappings of the unit ball in n n -space, such that the distortion coefficient is independent of n n and depends only on K K .
Anderson, G. D., Vamanamurthy, M. K.
openaire   +2 more sources

Geometry and Measurement in Otto Hölder’s Epistemology

open access: yesPhilosophia Scientiæ, 2013
The aim of the paper is to analyze Hölder’s understanding of geometry and measurement presented in Intuition and Reasoning [Hölder 1900], “The Axioms of Quantity and the Theory of Measurement” [Hölder 1901], and The Mathematical Method [Hölder 1924]. The
Paola Cantù
doaj   +1 more source

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