Abstract
This paper concerns with a class of reaction-diffusion systems with triangular diffusion matrix on the unbounded domain \({\mathbb{R}^{n}}\) . The system with diagonal diffusion matrix has been studied by J. D. Avrin and F. Rothe in [4]. We prove two new results about uniform boundedness to solutions of such class of reaction-diffusion systems in \({BUC(\mathbb{R}^{n})}\), the space of bounded uniformly continuous functions from \({\mathbb{R}^{n}}\) to \({\mathbb{R}}\) .
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Badraoui, S., Mehamedia, Z. Uniform Boundedness and Decay Estimates for a System of Reaction-Diffusion Equations with a Triangular Diffusion Matrix on \({\mathbb{R}^{n}}\) . Mediterr. J. Math. 10, 241–254 (2013). https://doi.org/10.1007/s00009-012-0239-8
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DOI: https://doi.org/10.1007/s00009-012-0239-8