Results 141 to 150 of about 366 (188)

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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Nonlinear semigroups analytic on sectors

Mathematical Journal of Okayama University, 1999
This article deals with semigroups of bounded operators in a complex Banach space \(X\); these semigroups are defined and analytic on an open sector \(\Sigma= \{se^{i\phi}+ te^{i\psi}: s,t> 0\}\) in the complex plain \(\mathbb{C}\) and describe solutions of nonlinear evolution equations of type \[ {d\over d\xi} u(\xi)= Au(\xi)\quad (\xi\in \Sigma ...
Nakamura, Gen, Matsumoto, Toshitaka, Oharu, Shinnosuke   +2 more
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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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-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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Asymptotics of Analytic Semigroups, II

Semigroup Forum, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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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 ...
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Differential and Analytical Properties of Semigroups of Operators

Integral Equations and Operator Theory, 2010
The paper treats differentiable and analytic distribution and ultradistribution semigroups and semigroups in various subclasses therein (e.g., integrated semigroups). The results are on characterization of their infinitesimal generators, persistence of differentiability/analyticity properties under perturbations, etc. Among the applications, the author
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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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