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Convergence of semigroups with an application to the carleman equation
Author(s) -
Kaper H. G.,
Leaf G. K.,
Reich S.,
Gilbert R. T.
Publication year - 1980
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670020305
Subject(s) - mathematics , semigroup , limit (mathematics) , convergence (economics) , generator (circuit theory) , simple (philosophy) , exponential function , nonlinear system , mathematical analysis , pure mathematics , power (physics) , philosophy , physics , epistemology , quantum mechanics , economics , economic growth
We present a simple proof of a convergence result for nonlinear semigroups which can be applied to obtain the fluid dynamical limit of Carleman's equation. In addition, we explicitly identify a closed exponential generator of the limit semigroup. Our results are closely related to those of T. G. Kurtz and H. P. McKean.