Blow up above stationary solutions of certain nonlinear parabolic equations. (English) Zbl 0659.35059
Blow up (in finite time) of any solution emanating from an initial function lying above an arbitrary positive equilibrium is established for a class of degenerate parabolic equations with the Dirichlet boundary condition.
Reviewer: M.Fila
MSC:
35K65 | Degenerate parabolic equations |
35K55 | Nonlinear parabolic equations |
35B40 | Asymptotic behavior of solutions to PDEs |