The results of this work deal with the existence and blow up of solutions for the following damped extensible beam with degenerate nonlocal damping and source term u_(tt)+Δ^(2)-M(||▽u||^(2))Δu+||Δu||^(2α)|u_(t)|^...The results of this work deal with the existence and blow up of solutions for the following damped extensible beam with degenerate nonlocal damping and source term u_(tt)+Δ^(2)-M(||▽u||^(2))Δu+||Δu||^(2α)|u_(t)|^(γ)u_(t)=|u|^(ρ)u.It is regarded as the second part of the paper by Narciso et al.(in 2023),where global existence,uniqueness and asymptotic stability of strong solutions were obtained for regular initial data in the case∣u∣^(ρ)u≡0.展开更多
文摘The results of this work deal with the existence and blow up of solutions for the following damped extensible beam with degenerate nonlocal damping and source term u_(tt)+Δ^(2)-M(||▽u||^(2))Δu+||Δu||^(2α)|u_(t)|^(γ)u_(t)=|u|^(ρ)u.It is regarded as the second part of the paper by Narciso et al.(in 2023),where global existence,uniqueness and asymptotic stability of strong solutions were obtained for regular initial data in the case∣u∣^(ρ)u≡0.
