# BLOW-UP AND LARGE TIME BEHAVIOR OF SOLUTIONS OF A WEAKLY COUPLED SYSTEM OF REACTION-DIFFUSION EQUATIONS

@article{Umeda2003BLOWUPAL, title={BLOW-UP AND LARGE TIME BEHAVIOR OF SOLUTIONS OF A WEAKLY COUPLED SYSTEM OF REACTION-DIFFUSION EQUATIONS}, author={Noriaki Umeda}, journal={Tsukuba journal of mathematics}, year={2003}, volume={27}, pages={31-46} }

where Nb 1, N 1⁄4 f1; 2; . . .Ng, uNþi 1⁄4 ui, uNþi;0 1⁄4 ui0, pNþi 1⁄4 pi ði A N Þ, u 1⁄4 ðu1; u2; . . . ; uNÞ, u0 1⁄4 ðu10; u20; . . . ; uN0Þ, p1⁄4 ðp1; p2; . . . ; pNÞ, db1, pib1 ði AN Þ and QN i1⁄41 pi > 1, ui0 ði A N Þ are nonnegative bounded and continuous functions. Problem (1) has a unique, nonnegative and bounded solution at least locally in time. For given initial values u0, let T 1⁄4 T ðu0Þ be the maximal existence time of the solution. If T 1⁄4 y the solutions are gloval. On the… Expand

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