\(L^1\)-\(L^1\) estimate for the energy to structurally damped \(\sigma\)-evolution models with time dependent

DOI10.1007/S00009-022-02044-ZzbMath1490.35062OpenAlexW4228999261MaRDI QIDQ2141030

Mohamed Kainane Mezadek

Publication date: 23 May 2022

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

Full work available at URL: https://doi.org/10.1007/s00009-022-02044-z

zbMATH Keywords

hyperbolic modelenergy decaytime dependent\(L^p\)-\(L^q\) estimate\(\sigma\)-evolution\(L^1\)-\(L^1\) estimatestructurally damped

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

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• A blow-up result for a nonlinear wave equation with damping: The critical case
• L 1 Estimates for Oscillating Integrals Related to Structural Damped Wave Models
• Semilinear structural damped waves
• Semi-Linear Fractional σ-Evolution Equations with Nonlinear Memory
• Theory of Function Spaces IV

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