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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   +2 more
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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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