Blow-up for a Nonlinear Parabolic Equation with Variable Reactions
Tang Shu-qiao · Journal of Changchun University · 2012
This paper studies the blow-up property of non-negative solutions to the nonlinear parabolic equation ut=Δu+a|u|p(x)(a0)在(x,t)∈Ω×(0,T)(T0) with homogeneous Dirichlet boundary conditions and variable reaction in(x,t)∈Ω×(0,T)(T0),and obtains the condition of blow-up at a finite time by using eigenfunction method.