Global existence of solutions for weakly coupled systems of semi-linear structurally damped σ-evolution models

DOI10.1080/00036811.2020.1781825zbMath1487.35247OpenAlexW3036268462MaRDI QIDQ5071304

Tuan Anh Dao

Publication date: 21 April 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1781825

zbMATH Keywords

harmonic analysisglobal existenceweakly coupled systemsloss of decaystructurally damped \(\sigma \)-evolution equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Critical exponents in context of PDEs (35B33) Fractional partial differential equations (35R11) Second-order quasilinear hyperbolic equations (35L72) Initial value problems for higher-order hyperbolic systems (35L56)

Related Items (2)

Critical curve for a weakly coupled system of semilinear \(\sigma\)-evolution equations with frictional damping ⋮ Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case

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