Results 11 to 20 of about 154 (124)
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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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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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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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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Existence and Uniqueness of Nonmonotone Solutions in Porous Media Flow
Axioms, 2022 Existence and uniqueness of solutions for a simplified model of immiscible two-phase flow in porous media are obtained in this paper. The mathematical model is a simplified physical model with hysteresis in the flux functions.
Rouven Steinle +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 We reprove Proposition 3.8 in our paper that was published in [Electron. J. Qual. Theory Differ. Equ. 2021, No. 7, 1–24], to fill a gap in the proof of Corollary 3.7 where the denseness of one of the embeddings does not follow by the original arguments ...
Mihály Kovács, Eszter Sikolya
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