\(H^1\)-Perturbations of smooth solutions for a weakly dissipative hyperelastic-rod wave equation

DOI10.1007/S00009-006-0088-4zbMath1167.35463OpenAlexW2087336833MaRDI QIDQ879756

Mostafa Bendahmane, Giuseppe Maria Coclite, Kenneth Hvistendahl Karlsen

Publication date: 9 May 2007

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-006-0088-4

zbMATH Keywords

ExistenceUniquenessStabilityWeak solutionHyperbolic equationIntegrable equationShallow water equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Wave equation (35L05) Initial value problems for nonlinear higher-order PDEs (35G25)

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