A generation theorem for semigroups of growth order \(\alpha\)

DOI10.2748/tmj/1178241232zbMath0282.47011OpenAlexW2046254325MaRDI QIDQ1843953

Noboru Okazawa

Publication date: 1974

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178241232

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03)

Related Items (17)

Classification of solution operators semigroups for abstract Cauchy problems ⋮ Differential equations in a Banach space ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Holomorphic C-semigroups and holomorphic semigroups ⋮ Nonlinear perturbations of a class of holomorphic semigroups of growth order \({\alpha}\) by comparison theorems for Volterra equations ⋮ Strong solution for singularly nonautonomous evolution equation with almost sectorial operators ⋮ Perturbation of analytic semigroups in scales of Banach spaces and applications to linear parabolic equations with low regularity data ⋮ Exponentially bounded C-semigroups and generation of semigroups ⋮ Rational approximation schemes for bi-continuous semigroups ⋮ On a class of abstract neutral functional differential equations ⋮ Fractional-power semigroups of growth n ⋮ Dynamics in dumbbell domains. II: The limiting problem ⋮ Unnamed Item ⋮ Well-posedness of the Cauchy problem in a Banach space: Regular and degenerate cases ⋮ An approximation theorem for semigroups of growth order alpha and an extension of the Trotter-Lie formula ⋮ Alpha well-posedness, alpha stability, and the matrix theorems of H.-O. Kreiss ⋮ Strong solutions for semilinear problems with almost sectorial operators

Cites Work

• On the generation of semi-groups of linear operators
• Generation theorems of semi-groups of linear operators
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