On Abstract Linear Evolution Equations, I
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Publication:3954393
DOI10.1002/mana.19811030117zbMath0492.47021OpenAlexW2132615845MaRDI QIDQ3954393
Publication date: 1981
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.19811030117
Green functionevolution semigroupsolution operatorlinear evolution equationslinear semigroupslinear inhomogeneous equationslinear propagators
Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10) Scattering theory of linear operators (47A40)
Related Items (13)
Results in \(L^ p({\mathbb{R}}^ d)\) for the Schrödinger equation with a time-dependent potential ⋮ The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions ⋮ Non-Autonomous Dynamics and Product Formula Approximation of Solution Operator ⋮ Operator-norm Trotter product formula on Banach spaces ⋮ Product approximations of solution operators for non‐autonomous perturbations of Gibbs semigroups ⋮ Approximation formula for a propagator in symmetrically normed ideals ⋮ Operator splitting for non-autonomous evolution equations ⋮ Generalized evolution semigroups and general dichotomies ⋮ On perturbations of generators of \(C_0\)-semigroups ⋮ A semigroup characterization of well-posed linear control systems ⋮ Gaussian bounds for propagators perturbed by potentials ⋮ Well-posedness and stability of nonautonomous past systems with unbounded operators in the delay term ⋮ Product formulae for non-autonomous Gibbs semigroups
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