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Article Dans Une Revue Annali di Matematica Pura ed Applicata Année : 2006

On uniqueness and monotonicity of solutions of non-local reaction diffusion equation

Jérôme Coville

Résumé

This article deals with the uniqueness and the behavior of solutions of non-local reaction diffusion equations. Since these equations share many properties with the usual reaction diffusion model, such as a form of maximum principle and the translation invariance, uniqueness and monotone behavior for the solution, as in the usual case, are expected. I present an elementary proof of this monotone behavior. The proof essentially uses techniques based on the maximum principle and the sliding method

Dates et versions

hal-02659813 , version 1 (30-05-2020)

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Jérôme Coville. On uniqueness and monotonicity of solutions of non-local reaction diffusion equation. Annali di Matematica Pura ed Applicata, 2006, 185 (3), pp.461-485. ⟨10.1007/s10231-005-0163-7⟩. ⟨hal-02659813⟩
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