Results 1 to 10 of about 2,572,519 (223)
On measuring unboundedness of the $H^\infty$-calculus for generators of analytic semigroups [PDF]
, 2016 We investigate the boundedness of the $H^\infty$-calculus by estimating the bound $b(\varepsilon)$ of the mapping $H^{\infty}\rightarrow \mathcal{B}(X)$: $f\mapsto f(A)T(\varepsilon)$ for $\varepsilon$ near zero.
Schwenninger, Felix
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Strong q-variation inequalities for analytic semigroups [PDF]
, 2010 Let T : Lp --> Lp be a positive contraction, with p strictly between 1 and infinity. Assume that T is analytic, that is, there exists a constant K such that \norm{T^n-T^{n-1}} < K/n for any positive integer n.
Christian, Le Merdy, Quanhua, Xu
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Semigroups of Composition Operators in Analytic Morrey Spaces [PDF]
Integral Equations and Operator Theory, 2020 Analytic Morrey spaces belong to the class of function spaces which, like BMOA, are defined in terms of the degree of oscillation on the boundary of functions analytic in the unit disc. We consider semigroups of composition operators on these spaces and focus on the question of strong continuity. It is shown that these semigroups behave like on BMOA.
Petros Galanopoulos +2 more
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Functional calculus for generators of analytic semigroups of operators
Karpatsʹkì Matematičnì Publìkacìï, 2013 We construct a functional calculus for generators of one-parameter bounded analytic semigroups of operators on a Banach space. The calculus symbol class consist of the Laplace image of the convolution algebra $\cal S'_+$ of tempered distributions with ...
O. V. Lopushansky, S. V. Sharyn
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Gaussian estimates for a heat equation on a network
Networks and Heterogeneous Media, 2006 We consider a diffusion problem on a network on whose nodes we impose Dirichlet and generalized, non-local Kirchhoff-type conditions. We prove well-posedness of the associated initial value problem, and we exploit the theory of sub-Markovian and ...
Delio Mugnolo
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Continuous maximal regularity and analytic semigroups [PDF]
, 2011 In this paper we establish a result regarding the connection between continuous maximal regularity and generation of analytic semigroups on a pair of densely embedded Banach spaces. More precisely, we show that continuous maximal regularity for a closed operator $A$ : $E_1 \to E_0$ implies that $A$ generates a strongly continuous analytic semigroup
LeCrone, Jeremy, Simonett, Gieri
semanticscholar +4 more sources
Integrodifferential equations with analytic semigroups
International Journal of Stochastic Analysis, 2001 In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.
D. Bahuguna
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Analyticity of sub-Markovian semigroups [PDF]
Proceedings of the American Mathematical Society, 1995 Summary: Let \(A\) be a generator of a submarkovian semigroup in \(L^2(M, d\mu)\). We investigate the domain of analyticity of \(\exp(- tA)\) in \(L^p(M, d\mu)\). The same problem for the generator perturbed by a potential is considered.
Liskevich, V. A., Perelmuter, M. A.
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A Class of Semilinear Parabolic Problems and Analytic Semigroups
Mathematics, 2022 (1) Background: This paper is devoted to the study of a class of semilinear initial boundary value problems of parabolic type. (2) Methods: We make use of fractional powers of analytic semigroups and the interpolation theory of compact linear operators ...
Kazuaki Taira
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Operator calculus on the class of Sato’s hyperfunctions
Karpatsʹkì Matematičnì Publìkacìï, 2013 We construct a functional calculus for generators of analytic semigroups of operators on a Banach space. The symbol class of the calculus consists of hyperfunctions with a compact support in $[0,\infty)$.
M.I. Patra, S.V. Sharyn
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