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Article Dans Une Revue SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada Année : 2011

Approximation by diffusion of renewal equations

Résumé

In this paper, we consider an approximation by diffusion of a model of metastasis growth. We prove existence and uniqueness in L 1 of mild and classical solutions, in the sense of semigroup, and their convergence to mild and classical solutions of the original model, as the diffusion coefficient tends to zero.
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Dates et versions

hal-01305502 , version 1 (21-04-2016)

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Assia Benabdallah, Marie Henry. Approximation by diffusion of renewal equations. SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2011, 56 (1), pp.5-34. ⟨10.1007/BF03322595⟩. ⟨hal-01305502⟩
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