Blow-up and upper bounds of blow-up time for a doubly degenerate equation with positive initial energy
This paper deals with the blow-up of solutions to the following doubly degenerate parabolic equation ut=div(|(▽)um|p-2(▽)um)+f(u),x ∈Ω,t≥0,with homogeneous Dirichlet boundary condition.A blow-up result is established when the initial energy is positive,r＞p＞2,m≥1,and under suitable conditions on f.Furthermore,a upper bound for blow-up time is also given.This result extends existing results.
blow-updoubly degeneratepositive initial energyupper bound of blow-up
万方数据
维普
