On the Inversion of the Laplace Transform of $C_0 $ Semigroups and Its Applications

DOI10.1137/S0036141092240035zbMath0845.47032OpenAlexW2332691368MaRDI QIDQ4857612

Peng-Fei Yao

Publication date: 24 January 1996

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141092240035

zbMATH Keywords

Fourier transformresolventinfinitesimal generatorLaplace transform of \(C_ 0\) semigroup representation

Mathematics Subject Classification ID

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

Related Items (8)

Stability, convergence to self-similarity and elastic limit for the Boltzmann equation for inelastic hard spheres ⋮ On exponential stability of \(C_0\) semigroups ⋮ Admissibility of control operators in UMD spaces and the inverse Laplace transform ⋮ On the complex inversion formula and admissibility for a class of Volterra systems ⋮ An ergodic approach to Laplace transforms on time scales ⋮ The theory of Besov functional calculus: developments and applications to semigroups ⋮ Operators \(L^{1}(\mathbb R_+) \to X\) and the norm continuity problem for semigroups ⋮ Characteristic conditions of the generation of \(C_0\) semigroups in a Hilbert space

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