Weakly coupled systems of semilinear effectively damped waves with time-dependent coefficient, different power nonlinearities and different regularity of the data

DOI10.1016/j.na.2018.05.006zbMath1397.35149OpenAlexW2806501684WikidataQ129800320 ScholiaQ129800320MaRDI QIDQ1654002

Michael Reissig, Abdelhamid Mohammed Djaouti

Publication date: 7 August 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.05.006

zbMATH Keywords

global existencesmall data solutions\(L^2\)-decayeffective dissipation

Mathematics Subject Classification ID

Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (11)

Modified different nonlinearities for weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms ⋮ Semilinear effectively damped wave models with general relaxation function ⋮ Global existence of solutions for weakly coupled systems of semi-linear structurally damped σ-evolution models ⋮ A global existence result for two-dimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain ⋮ Estimates for the linear viscoelastic damped wave equation on the Heisenberg group ⋮ Existence of global solutions for a weakly coupled system of semilinear viscoelastic damped \(\sigma\)-evolution equations ⋮ Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part ⋮ Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case ⋮ On the benefit of different additional regularity for the weakly coupled systems of semilinear effectively damped waves ⋮ Global well-posedness for effectively damped wave models with nonlinear memory ⋮ Blow-up results for effectively damped wave models with nonlinear memory

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