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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.

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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