The Laplace transform and the ascent method for abstract wave equations

DOI10.1006/jdeq.1995.1137zbMath0839.34070OpenAlexW2041771778MaRDI QIDQ1900947

Valentin Keyantuo

Publication date: 4 June 1996

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1995.1137

zbMATH Keywords

Banach spacesecond order Cauchy problemgenerators of uniformly bounded commuting cosine functions

Mathematics Subject Classification ID

Wave equation (35L05) Laplace transform (44A10) Linear differential equations in abstract spaces (34G10)

Related Items (8)

The wave equation with Wentzell-Robin boundary conditions on \(L^{p}\)-spaces ⋮ Second order linear Volterra equations governed by a sine family ⋮ Singular perturbation for Volterra equations of convolution type ⋮ Integrated semigroups and related partial differential equations ⋮ Convoluted \(C\)-cosine functions and semigroups. Relations with ultradistribution and hyperfunction sines ⋮ On Wallen-type formulae for integrated semigroups and sine functions ⋮ Rank-1 perturbations of cosine functions and semigroups ⋮ On the interior approximate controllability for fractional wave equations

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