Decay characterization of solutions to semi-linear structurally damped $\sigma$-evolution equations with time-dependent damping

Cung The Anh, Phan Duc An, Pham Trieu Duong

In this paper, we study the Cauchy problem to the linear damped $\sigma$-evolution equation with time-dependent damping in the effective cases \begin{equation*} u_{t t}+(-Δ)^σu+b(t)(-Δ)…