Results 11 to 20 of about 2,840,866 (277)
Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup [PDF]
Abstract and Applied Analysis, 2012 This paper deals with the existence of mild solutions for a class of fractional evolution equations with compact analytic semigroup. We prove the existence of mild solutions, assuming that the nonlinear part satisfies some local growth conditions in ...
He Yang
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An analytic Novikov conjecture for semigroups [PDF]
Rocky Mountain Journal of Mathematics, 2018 In this article we formulate a version of the analytic Novikov conjecture for semigroups rather than groups, and show that the descent argument from coarse geometry generalises effectively to this new situation.
Paul D. Mitchener
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Quasi-analyticity and semigroups [PDF]
Bulletin of the American Mathematical Society, 1972 This chapter contains a development for linear semigroups which is of interest in the theory of probability and other areas.
J. W. Neuberger
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Integrodifferential equations with analytic semigroups [PDF]
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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Perturbation of Analytic Semigroups and Applications to Partial Differential Equations [PDF]
, 2015 In a recent paper we presented a general perturbation result for generators of $$C_0$$C0-semigroups, c.f. Theorem 2.1 below. The aim of the present work is to replace, in case the unperturbed semigroup is analytic, the various admissibility conditions ...
Martin Adler +2 more
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Analytic semigroup generated by the linearization of a Riemann-Dafermos solution [PDF]
, 2004 Xiao-Biao Lin
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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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An analytic semigroup generated by a fractional differential operator [PDF]
Journal of Mathematical Analysis and Applications, 2019 We study a space-fractional diffusion problem, where the non-local diffusion flux involves the Caputo derivative of the diffusing quantity. We prove the unique existence of regular solutions to this problem by means of the semigroup theory.
K. Ryszewska
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