Results 161 to 170 of about 2,572,519 (223)

THE WEISS CONJECTURE FOR BOUNDED ANALYTIC SEMIGROUPS

Journal of the London Mathematical Society, 2003
The present paper is concerned with the so-called Weiss conjecture on admissible operators for bounded semigroups. Let \(-A\) be the generator of a \(C_0\)-semigroup \((T_t)_{t\geq 0}\) on a Banach space \(X\). A linear bounded operator \(C\) from \(D(-A)\), the domain of \(-A\), to another Banach space is called admissible for \(A\) if there is a ...
Christian Le Merdy
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Competition models with diffusion, analytic semigroups, and inertial manifolds

Mathematical methods in the applied sciences, 2018
Motivated by a two‐specie competition model with cross‐diffusion in population ecology with time‐dependent environmental capacity, we study the semilinear parabolic evolution equation of the form x˙+Ax=f(t,x) where the linear operator −A generates an ...
Thieu Huy Nguyen, X. Bui
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Perturbation of analytic semigroups and applications to partial differential equations

, 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 ...
M. Adler, M. Bombieri, K. Engel
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Asymptotics of Analytic Semigroups

Semigroup Forum, 2001
The main result of this paper is that if the closed, densely defined operator \(A\) generates a \(C_0\)-semigroup \(T(\cdot)\), extending analytically in some given sector such that the norm of \(T(\cdot)\) is bounded in each proper subsector, then the norm of \(zAT(z)\) is bounded in each proper subsector.
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Asymptotics of Analytic Semigroups, II

Semigroup Forum, 2004
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-admissibility and analytic -semigroups

Nonlinear Analysis: Theory, Methods & Applications, 2011
This paper gives a uniqueness result for the solution of the operator equation \(AX-XB=CD\) in the case of \(A\) being the generator of an analytic \(C\)-regularized semigroup in a Banach space \(F\) and \(B\) being a closed linear operator in \(F\) with some further properties. When \(C=I\), the result was proved by \textit{Q. P.
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Analyticity of nonlinear semigroups

Israel Journal of Mathematics, 1989
The Cauchy problemdu/dt =Au(t),u(0) =u 0∈D(A) has analytic solutions whenA has first and second Gateaux derivatives along the solution curve in a certain weak sense. HereA is a maximal monotone operator in a complex Hilbert space.
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Elliptic Operators and Analytic Semigroups

2021
In this chapter, taking advantage of the results proved in all the previous chapters, we show that the semigroups considered in Chapters 6 to 9 are analytic and we characterize the interpolations spaces of order α and 1
Luca Lorenzi, Abdelaziz Rhandi
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Analytic semigroups generated by ultraweak operators

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1991
SynopsisLet Ω be a regular open subset ofRN. We present an improved generation result for nonvariational operators inL1(Ω). This result is obtained by studying ultraweak operators and by proving generation of analytic semigroups inLp(Ω)(l<p≦∞) and in. We also characterise interpolation and extrapolation spaces.
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Analyticity of the Cox–Ingersoll–Ross semigroup

Positivity, 2019
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Fornaro S., Metafune G.
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