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Zbl 0659.35059
Fila, Marek; Filo, Ján
Blow up above stationary solutions of certain nonlinear parabolic equations. (English)
[J] Commentat. Math. Univ. Carol. 29, No.1, 179-193 (1988). ISSN 0010-2628

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.
[M.Fila]
MSC 2000:
*35K65 Parabolic equations of degenerate type
35K55 Nonlinear parabolic equations
35B40 Asymptotic behavior of solutions of PDE

Keywords: Blow up; finite time; positive equilibrium; Dirichlet

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