Abstract
We show that Lord Kelvin’s method of images is a way to prove generation theorems for semigroups of operators. To this end we exhibit three examples: a more direct semigroup-theoretic treatment of abstract delay differential equations, a new derivation of the form of the McKendrick semigroup, and a generation theorem for a semigroup describing kinase activity in the recent model of Kaźmierczak and Lipniacki (J. Theor. Biol. 259:291–296, 2009).
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Communicated by Jerome A. Goldstein.
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Bobrowski, A. Lord Kelvin’s method of images in semigroup theory. Semigroup Forum 81, 435–445 (2010). https://doi.org/10.1007/s00233-010-9230-5
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DOI: https://doi.org/10.1007/s00233-010-9230-5