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**Blow-up rates for parabolic systems.**
*(English)*
Zbl 0854.35054

Two weakly coupled systems of parabolic equations are considered. One is coupled in the equations and the other in the boundary conditions. For both of them blow-up in finite time may occur. Estimates of the blow-up rates (in \(t\)) are established for certain classes of initial functions.

Reviewer: M.Fila (Bratislava)

### MSC:

35K50 | Systems of parabolic equations, boundary value problems (MSC2000) |

35B40 | Asymptotic behavior of solutions to PDEs |

35K55 | Nonlinear parabolic equations |

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\textit{K. Deng}, Z. Angew. Math. Phys. 47, No. 1, 132--143 (1996; Zbl 0854.35054)

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