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The monotone method on the sub-strongly coupled reaction-diffusion systems. (English) Zbl 0833.35068

Summary: We extend the monotone method which is also called upper-lower solution method to the sub-strongly coupled reaction-diffusion system without quasimonotone condition required. We construct an iterative monotonous sequence to approach the solution. Some application of this result is involved.

MSC:

35K57 Reaction-diffusion equations
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
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