Integrated semigroups and their application to complete second order Cauchy problems

DOI10.1007/BF02573234zbMath0686.47038MaRDI QIDQ1262521

Frank Neubrander

Publication date: 1989

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134957

zbMATH Keywords

biclosednesswell posedness of the complete second order Cauchy problem

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) General theory of ordinary differential operators (47E05) Linear differential equations in abstract spaces (34G10)

Related Items (34)

Approximation of local convoluted semigroups ⋮ Strongly continuous \(M,N\)-families of bounded operators ⋮ Asymptotic behaviour of integrated semigroups ⋮ Perturbations and approximations of integrated semigroups ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Integrated semigroups, C-semigroups and the abstract Cauchy problem ⋮ Integrated resolvent operators ⋮ Laplace transforms and integrated, regularized semigroups in locally convex spaces ⋮ Local k-convoluted c-semigroups and complete second order abstract Cauchy problems ⋮ A higher-order non-autonomous semilinear parabolic equation ⋮ On perturbation theory for exponentially bounded C-semigroups ⋮ Convoluted fractional \(C\)-semigroups and fractional abstract Cauchy problems ⋮ Entire solutions of the abstract Cauchy problem ⋮ Growth estimates for semigroups generated by \(2\times 2\) operator matrices ⋮ Semigroups arising from elastic systems with dissipation ⋮ Interpolation of semigroups and integrated semigroups ⋮ Semigroups arising from elastic systems with dissipation ⋮ A characterization of norm continuity of propagators for second order abstract differential equations ⋮ Integrated semigroups and higher-order abstract equations ⋮ A class of complete second order linear differential equations ⋮ Integraded semigroups and integrodifferential equations ⋮ Unnamed Item ⋮ Well-posedness of the Cauchy problem in a Banach space: Regular and degenerate cases ⋮ The method of integrated semigroups for Cauchy problems in Banach spaces ⋮ Well-posedness of differential-operator problems. I: The Cauchy problem in spaces of distributions ⋮ Well-posedness of differential-operator problems. II: The Cauchy problem for complete second-order equations in Banach spaces ⋮ The ``parking problem for segments of different length ⋮ Rates of clustering in the Strassen law for random polygons ⋮ Approximation of convolutions by accompanying laws under the existence of moments of low orders ⋮ Random processes with strong averaging condition ⋮ Asymptotic behavior of trajectories of stationary Banach-valued Gaussian fields. II ⋮ Large deviations of sums of independent random variables from the domain of attraction of a stable law ⋮ A uniformly distributed hitting position for a two-dimensional anisotropic diffusion process: The limit normed curve ⋮ A class of semigroups regularized in space and time

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