On the existence of steady states of certain reaction-diffusion systems (Q1078758)
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scientific article; zbMATH DE number 3962287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of steady states of certain reaction-diffusion systems |
scientific article; zbMATH DE number 3962287 |
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On the existence of steady states of certain reaction-diffusion systems (English)
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1986
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This paper extends and improves earlier results by the author [Z. Angew. Math. Mech. 65, 183-185 (1985; Zbl 0584.76093)] on existence of solutions to boundary value problems for elliptic systems of semilinear differential equations describing steady states of reaction-diffusion systems. The results are based on a dissipativity condition to derive \(L^{\infty}\)-boundary for solutions to regularized problems. The reactions of arbitrary order for a space of any dimension can be treated by this technique.
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steady states
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reaction-diffusion systems
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dissipativity condition
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regularized problems
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