Boundary regimes with peaking and large solutions of quasilinear parabolic equations

There will be presented results on localized and non-localized boundary regimes with singular peaking in some finite time moment for general quasilinear parabolic equations. As an application, results on the asymptotic behavior of large (i.e. accepting infinite boundary data along entire boundary of the domain) solutions of nonlinear parabolic equations of the structure of non-linear diffusion-absorption are established.