Results 21 to 30 of about 2,572,519 (223)
The discrete fragmentation equations : semigroups, compactness and asynchronous exponential growth [PDF]
In this paper we present a class of fragmentation semigroups which are compact in a scale of spaces defined in terms of finite higher moments. We use this compactness result to analyse the long time behaviour of such semigroups and, in particular, to ...
A. C. McBride +19 more
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Existence and Uniqueness of Nonmonotone Solutions in Porous Media Flow
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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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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Analytic semigroups on vector valued noncommutative $L^p$-spaces [PDF]
We give sufficient conditions on an operator space $E$ and on a semigroup of operators on a von Neumann algebra $M$ to obtain a bounded analytic or a $R$-analytic semigroup $(T_t \otimes Id_E)_{t \geq 0}$ on the vector valued noncommutative $L^p$-space ...
Cédric Arhancet
semanticscholar +1 more source
Quasianalyticity and Semigroups [PDF]
This chapter contains a development for linear semigroups which is of interest in the theory of probability and other areas.
openaire +3 more sources
Existence of solutions to neutral differential equations with deviated argument
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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Analyticity and quasi-analyticity for one-parameter semigroups [PDF]
Suppose that T is a strongly continuous (even at 0) one-parameter semigroup of bounded linear transformations on a real Banach space S and T has generator A. THEOREM A. If lim supx.o [ T(x) -I 0. Suppose { q } is a sequence of positive numbers convergent to 0 and each of N(q), q= 1, 2, * * is an increasing sequence of positive integers.
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The stochastic Weiss conjecture for bounded analytic semigroups [PDF]
Suppose −A admits a bounded H∞‐calculus of angle less than π/2 on a Banach space E which has Pisier's property (α), let B be a bounded linear operator from a Hilbert space H into the extrapolation space E−1 of E with respect to A, and let WH denote an H ...
Jamil Abreu +2 more
semanticscholar +1 more source
Maximal theorems and square functions for analytic operators on Lp-spaces [PDF]
Let T : Lp --> Lp be a contraction, with p strictly between 1 and infinity, and assume that T is analytic, that is, there exists a constant K such that n\norm{T^n-T^{n-1}} < K for any positive integer n.
Merdy, Christian Le, Xu, Quanhua
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Waves and Diffusion on Metric Graphs with General Vertex Conditions
We prove well-posedness for very general linear wave- and diffusion equations on compact or non-compact metric graphs allowing various different conditions in the vertices.
Engel, Klaus-Jochen +1 more
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