Global existence and stability of a class of nonlinear evolution equations with hereditary memory and variable density
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DOI: 10.1186/s13661-019-1152-x
Abstract: AbstractIn this paper, we consider the initial boundary value problem of nonlinear evolution equation with hereditary memory, variable density, and external force term {|ut|ρutt−αΔu−Δutt+∫−∞tμ(t−s)Δu(s)ds−γΔut=f(u),(x,t)∈Ω×R+,u(x,t)=0,(x,t)∈∂Ω×R+,u(x,0)=u0(x),ut(x,0)=u1(x),x∈Ω. $$\begin{aligned} \textstyle\begin{cases} \vert u_{t} \vert ^{\rho }u_{tt}-\alpha \Delta u-\Delta u_{tt}+\int_{-\infty }… read more here.
Keywords: hereditary memory; nonlinear evolution; memory variable; stability ... See more keywords