Global Existence and Blow-up of Solutions to a Class of Doubly Degenerate Parabolic Equations Coupled via Nonlinear Boundary Flux

The paper deals with the critical curve for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar super-solution and subsolution, we obtain the critical global existence curve, and the critical curve of Fujita type is conjectured with the aid of some new results. An interesting feature of our results is that the critical global existence curve and the critical Fujita curve are determined by a matrix and by the solution of a linear algebraic system, respectively.

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