On the asymptotic behaviour of a semigroup of linear operators

DOI10.1016/0019-3577(96)81760-5zbMath0849.47018OpenAlexW2041003788MaRDI QIDQ1909244

Yanyan Li

Publication date: 7 November 1996

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(96)81760-5

zbMATH Keywords

resolventCauchy problem\(C_ 0\)-semigroup on a Banach space\(p\)-boundednessexistence of \(L^ p\)-solutions and \(W^{1,p}\)-solutionsweakly \(L^ p\)-stable \(C_ 0\)-semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06)

Related Items

Optimal individual stability estimates for $C_0$-semigroups in Banach spaces, Obstructions to the uniform stability of a \(C_{0}\)-semigroup, A weak integral condition and its connections with existence and uniqueness of solutions for some abstract Cauchy problems in Banach spaces, Weak real integral characterizations for exponential stability of semigroups in reflexive spaces, Asymptotic behavior of 𝐶₀-semigroups in Banach spaces, Stability theory for semigroups using \((L^{p},L^{q})\) Fourier multipliers, \(B\)-convexity, the analytic Radon-Nikodým property, and individual stability of \(C_0\)-semigroups, Positive semigroups and abstract Lyapunov equations

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