Semilinear hyperbolic boundary value problem associated to the nonlinear generalized viscoelastic equations

DOI10.1007/s40306-017-0229-9zbMath1392.35189OpenAlexW2769295999MaRDI QIDQ1752943

Abita Rahmoune

Publication date: 25 May 2018

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-017-0229-9

zbMATH Keywords

global existencememory termgeneralized Lebesgue spaceSobolev spaces with variable exponentsDirichlet-Neumann boundary conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

General decay of a nonlinear viscoelastic wave equation with Balakrishnân-Taylor damping and a delay involving variable exponents ⋮ Multiplicity of solutions for fractional \(q(\cdot)\)-Laplacian equations ⋮ Existence and asymptotic behavior of solutions for degenerate nonlinear Kirchhoff strings with variable-exponent nonlinearities

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