Semilinear \(\sigma\)-evolution models with friction and visco-elastic type damping

DOI10.1007/s00030-022-00795-yzbMath1497.35320OpenAlexW4293699966MaRDI QIDQ2172755

Mourad Kainane Mezadek, Mohamed Kainane Mezadek, Michael Reissig

Publication date: 16 September 2022

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-022-00795-y

zbMATH Keywords

global existence of solutionsGagliardo-Nirenberg inequalityvisco-elastic dampingfractional chain rulefractional power rulehigher regularity of datasemilinear \(\sigma\)-evolution equationsstructurally damped equation

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

On asymptotic properties of solutions to \(\sigma \)-evolution equations with general double damping

Cites Work

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