Results 21 to 30 of about 154 (124)
Functional calculus for generators of analytic semigroups of operators
Karpatsʹkì Matematičnì Publìkacìï, 2013 We construct a functional calculus for generators of one-parameter bounded analytic semigroups of operators on a Banach space. The calculus symbol class consist of the Laplace image of the convolution algebra $\cal S'_+$ of tempered distributions with ...
O. V. Lopushansky, S. V. Sharyn
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Existence of solutions to neutral differential equations with deviated argument
Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space $X.$ With the help of the analytic semigroups theory and fixed point method we establish the existence and uniqueness of solutions of the ...
Malik Muslim, Dhirendra Bahuguna
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Quasilinear Fractional Order Equations and Fractional Powers of Sectorial Operators
Fractal and Fractional, 2023 The fractional powers of generators for analytic operator semigroups are used for the proof of the existence and uniqueness of a solution of the Cauchy problem to a first order semilinear equation in a Banach space. Here, we use an analogous construction
Vladimir E. Fedorov +2 more
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A note on the spectral operators of scalar type and semigroups of bounded linear operators
International Journal of Mathematics and Mathematical Sciences, 2002 It is shown that, for the spectral operators of scalar type, the well-known characterizations of the generation of C0- and analytic semigroups of bounded linear operators can be reformulated exclusively in terms of the spectrum of such operators, the ...
Marat V. Markin
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International Journal of Mathematics and Mathematical Sciences, 1996 In order to the second order Cauchy problem (CP2):x″(t)=Ax(t), x(0)=x∈D(An), x″(0)=y∈D(Am) on a Banach space, Arendt and Kellermann recently introduced the integrated cosine function.
Quan Zheng
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Analytic semigroup generated by an elliptic operator with discontinuous coefficients
Le Matematiche, 2000 We consider the generation of analytic semigroups by elliptic operators with discontinuous coefficients.
Giuseppe Di Fazio, Pietro Zamboni
doaj
Electronic Journal of Differential Equations, 1998 We consider reaction-diffusion systems which are strongly coupled. we prove that they generate analytic semigroups, find a characterization for the spectrum of the generator, and present some examples.
Luiz Augusto F. De Oliveira
doaj
Strict Solution for a Second Order Differential Equation in Holder Spaces
International Journal of Analysis and Applications, 2019 In this paper we give some results on abstract second order differential elliptic equations of mixed type. The study is performed in Holder continuous Banach spaces.
Youcef Naas, Fatima Zohra Mezeghrani
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Almost periodic solutions of semilinear equations with analytic semigroups in Banach spaces
Electronic Journal of Differential Equations, 2002 We establish the existence and uniqueness of almost periodic solutions of a class of semilinear equations having analytic semigroups. Our basic tool in this paper is the use of fractional powers of operators.
Mohamed Bahaj, Omar Sidki
doaj
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source