Summary
A family of semilinear parabolic operators\(\mathfrak{A}_\varepsilon \) and corresponding elliptic operators\(\mathfrak{A}_{\varepsilon ,\infty } \) is considered, ε being a small parameter and the reduced problem being characterized by the presence of a free boundary. This kind of operators appears in the kinetic theory of artificial membranes with enzymotic activity.
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This research has been partially supported by the European Research Office of the U.S. Army under the contract No. DAJA-37-82-C-0731.
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Frank, L.S., Wendt, W.D. Elliptic and parabolic singular perturbations in the kinetic theory of enzymes. Annali di Matematica pura ed applicata 144, 261–301 (1986). https://doi.org/10.1007/BF01760822
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DOI: https://doi.org/10.1007/BF01760822