Reaction-diffusion problems in cylinders with no invariance by translation. II: Monotone perturbations (Q1370896)
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scientific article; zbMATH DE number 1080025
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| English | Reaction-diffusion problems in cylinders with no invariance by translation. II: Monotone perturbations |
scientific article; zbMATH DE number 1080025 |
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Reaction-diffusion problems in cylinders with no invariance by translation. II: Monotone perturbations (English)
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28 October 1997
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[For Part I, cf. ibid. No. 4, 457-498 (1997; Zbl 0889.35035).] The goal of this paper is to investigate the existence and ``a priori'' properties of solutions of the reaction-diffusion equations in an infinite cylinder \(\Sigma= \mathbb{R}\times\omega\), where \(\omega\) is a bounded domain in \(\mathbb{R}^{N-1}\) with smooth boundary.
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monotonicity properties
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sliding method
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existence
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