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The wave equation in \(L^{p}\)-spaces

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Publication:818940
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DOI10.1007/S00233-005-0102-3zbMath1096.47051OpenAlexW2054980062MaRDI QIDQ818940

Mahamadi Warma, Valentin Keyantuo

Publication date: 22 March 2006

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

Full work available at URL: https://doi.org/10.1007/s00233-005-0102-3


zbMATH Keywords

cosine functionboundary conditionselliptic operatorintegrated semigroupGaussian estimate


Mathematics Subject Classification ID

Operator sine and cosine functions and higher-order Cauchy problems (47D09) Abstract hyperbolic equations (35L90) Integrated semigroups (47D62)


Related Items (5)

The wave equation with Wentzell-Robin boundary conditions on \(L^{p}\)-spaces ⋮ Perturbation theory for abstract Volterra equations ⋮ Abstract differential operators generating fractional resolvent families ⋮ Perturbing the boundary conditions of the generator of a cosine family ⋮ \((a,k)\)-regularized \(C\)-resolvent families: regularity and local properties







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