BLOW-UP PROBLEMS FOR PARTIAL DIFFERENTIAL EQUATIONS AND SYSTEMS OF PARABOLIC TYPE

摘要

In this survey paper, we shall give a brief account on some aspects of blow-up problems for partial differential equations and systems of parabolic type with nonlinear boundary conditions, localized terms, nonlocal terms and problems not in divergence form. We are mainly concerned with blow-up rates, blowup sets, blow-up profiles, blow-up boundary layers, total blow-up, single point blow-up and simultaneous blow-up.