Results 1 to 10 of about 366 (188)
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
exaly +3 more sources
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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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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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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New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem
Boundary Value Problems, 2021 We know that interpolation spaces in terms of analytic semigroup have a significant role into the study of strict Hölder regularity of solutions of classical abstract Cauchy problem (ACP).
Md Mansur Alam +2 more
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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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