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Maximal L1-Regularity of Generators for Bounded Analytic Semigroups in Banach Spaces
Acta Mathematica Scientia, 2022Myong‐Hwan Ri, R. Farwig
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Nonlinear semigroups analytic on sectors
2016This 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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Sesquilinear Forms and Analytic Semigroups
2014Applying 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).openaire +1 more source
Gaussian estimates and analytic semigroups
1995Traditionally, 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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Analytic Semigroups and Optimal Regularity in Parabolic Problems
, 2003A. Lunardi
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Analytic Semigroups of Holomorphic Mappings and Composition Operators
, 2018M. Elin, D. Shoikhet, N. Tarkhanov
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Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces
, 2014B. Barraza Martínez +2 more
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