Results 161 to 170 of about 18,096 (200)

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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Nonlinear semigroups analytic on sectors

2016
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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Analytic semigroups and interpolation

2018
Throughout the chapter X is a complex Banach space, A : D(A) ⊂ X ↦ X is a sectorial operator (i.e., a linear operator satisfying (5.1)), and e tA is the semigroup generated by A.
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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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Analytic Semigroups

2021
Luca Lorenzi, Abdelaziz Rhandi
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Sesquilinear Forms and Analytic Semigroups

2014
Applying the theorems of Hille–Yosida or Lumer–Phillips is sometimes unsatisfactory, as they make no claim about possible regularity gain (either in space or time) of solutions. In this chapter we specialize our previous investigations to parabolic equations.
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On analytic homomophisms of analytic semigroups

This thesis deals with real and complex analytic multiplicative homomophisms ф from an analytic semigroup M(n,F) to F taking 0 to 0 where F is either the set of real numbers or couplex numbers. We shall prove that either ф Ξ 0 or there exists a natural number m such that ф ( A) = (det A)^m for all A in M(n‚F).
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Gaussian estimates and analytic semigroups

1995
Traditionally, the analyticity of semigroups generated by differential operators on L p(Ω, μ) is proven via a-priori estimates and duality ([2], [4], [10] Chap. 7)or by Stein’s interpolation theorem (see e.g. [5], theorem 1.4.2).
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Innovations in research and clinical care using patient‐generated health data

Ca-A Cancer Journal for Clinicians, 2020
H S L Jim, Aasha I Hoogland, Naomi C Brownstein   +2 more
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