Spectra of algebras of block-symmetric analytic functions of bounded type
Математичні Студії, 2022 We investigate algebras of block-symmetric analytic functions on spaces $\ell_{p}(\mathbb{C}^s)$ which are $\ell_{p}$-sums of $\mathbb{C}^{s}.$ We consider properties of algebraic bases of block-symmetric polynomials, intertwining operations on spectra ...
A. Zagorodnyuk, V. V. Kravtsiv
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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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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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Space–time analytic smoothing effect of the heat semigroup defined on homogeneous Besov spaces
Partial Differential Equations in Applied Mathematics, 2021 We refine the decay estimate of the heat semigroup {T(t)}t≥0defined on homogeneous Besov spaces Ḃp,qs(Rn)for s∈R,p,q∈[1,∞], which is obtained by Kozono et al. (2003).
Taiki Takeuchi
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Open Mathematics, 2022 In this paper, we study the existence of solutions for the neutral evolution equations with nonlocal conditions and delay in α\alpha -norm, which are more general than in many previous publications.
Zhang Xuping, Sun Pan
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Representation of Quantum Mechanical Resonances in the Lax-Phillips Hilbert Space [PDF]
, 1998 We discuss the quantum Lax-Phillips theory of scattering and unstable systems. In this framework, the decay of an unstable system is described by a semigroup.
Aguilar J. +10 more
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Existence of solutions for quasilinear random impulsive neutral differential evolution equation
Arab Journal of Mathematical Sciences, 2018 This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
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Positive Solutions for the Initial Value Problem of Fractional Evolution Equations
Abstract and Applied Analysis, 2013 By using the fixed point theorems and the theory of analytic semigroup, we investigate the existence of positive mild solutions to the Cauchy problem of Caputo fractional evolution equations in Banach spaces.
He Yang, Yue Liang
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SOBRE LA ANALITICIDAD DEL SEMIGRUPO Co ASOCIADO A UN SISTEMA VISCOELÁSTICO
Pesquimat, 2014 We proved that the semigroup C0 associated to a viscoelastic system is analytic and exponentially stable.
Yolanda Silvia Santiago Ayala
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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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