Parameter–Elliptic Fourier Multipliers Systems and Generation of Analytic and C∞ Semigroups
Mathematics, 2022 We consider Fourier multiplier systems on Rn with components belonging to the standard Hörmander class S1,0mRn, but with limited regularity. Using a notion of parameter-ellipticity with respect to a subsector Λ⊂C (introduced by Denk, Saal, and Seiler) we
Bienvenido Barraza Martínez +3 more
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Real analyticity of Hausdorff dimension for expanding rational semigroups [PDF]
, 2009 We consider the dynamics of expanding semigroups generated by finitely many rational maps on the Riemann sphere. We show that for an analytic family of such semigroups, the Bowen parameter function is real-analytic and plurisubharmonic.
Sumi, Hiroki, Urbanski, Mariusz
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Isometric dilations and $H^\infty$ calculus for bounded analytic semigroups and Ritt operators [PDF]
, 2015 We show that any bounded analytic semigroup on $L^p$ (with ...
Cédric Arhancet, S. Fackler, C. Merdy
semanticscholar +1 more source
Mild Solutions to the Cauchy Problem for Some Fractional Differential Equations with Delay
Axioms, 2017 In this paper, we present new existence theorems of mild solutions to Cauchy problem for some fractional differential equations with delay. Our main tools to obtain our results are the theory of analytic semigroups and compact semigroups, the Kuratowski ...
Jin Liang, Yunyi Mu
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Feller semigroups, Lp-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols [PDF]
, 2001 The question of extending L-p-sub-Markovian semigroups to the spaces L-q, q > P, and the interpolation of LP-sub-Markovian semigroups with Feller semigroups is investigated.
Berlin +3 more
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On the stochastic Allen–Cahn equation on networks with multiplicative noise
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a system of stochastic Allen–Cahn equations on a finite network represented by a finite graph. On each edge in the graph a multiplicative Gaussian noise driven stochastic Allen–Cahn equation is given with possibly different potential barrier ...
Mihály Kovács, Eszter Sikolya
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Abstract and Applied Analysis, 2004 In the class of scalar type spectral operators in a complex Banach space, a characterization of the generators of analytic C0-semigroups in terms of the analytic vectors of the operators is found.
Marat V. Markin
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Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this paper we prove sufficient conditions for the existence of global solutions of nonlinear functional-differential evolution equations whose linear parts are infinitesimal generators of strongly continuous and analytic semigroups.
Milan Medved
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Dynamics of semigroups generated by analytic functions of the Laplacian on Homogeneous Trees
Comptes Rendus. Mathématique, 2023 Let $\Psi $ be a non-constant complex-valued analytic function defined on a connected, open set containing the $L^p$-spectrum of the Laplacian $\mathcal{L}$ on a homogeneous tree.
Kumar, Pratyoosh, Rano, Sumit Kumar
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On continuity of solutions for parabolic control systems and input-to-state stability [PDF]
, 2018 We study minimal conditions under which mild solutions of linear evolutionary control systems are continuous for arbitrary bounded input functions.
Jacob, Birgit +2 more
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