Abstract
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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This work was supported by ANR MEMOREX-PK (Projet ANR-09-BLAN-0217-01).
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Assia, B., Marie, H. Approximation by diffusion of renewal equations. SeMA 56, 5–34 (2011). https://doi.org/10.1007/BF03322595
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DOI: https://doi.org/10.1007/BF03322595