Non-simultaneous blow-up profile and boundary layer estimate in nonlinear parabolic problems

摘要

This paper deals with homogeneous Dirichlet problems of localized parabolic equations with different diffusion, where reaction terms are the product of the three components of solutions. According to the nontrivial coupled relationship, different non-simultaneous and simultaneous blow-up criteria are proposed for the three components. Then we show non-simultaneous blow-up profile and boundary layer estimates of solutions with or without standard growth conditions on the localized sources near blow-up time.