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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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An exponential limit formula for nonlinear semigroups
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by Joel L. Mermin PDF
Trans. Amer. Math. Soc. 150 (1970), 469-476 Request permission

Abstract:

In recent papers, many writers have developed the theory of semigroups of operators generated by nonlinear accretive operators. In the present paper, we construct this semigroup by means of an exponential limit formula, and then use this means of obtaining the semigroup to prove an approximation theorem that is a direct generalization of the Kato-Trotter theorem for linear semigroups.
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Additional Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 150 (1970), 469-476
  • MSC: Primary 47.50
  • DOI: https://doi.org/10.1090/S0002-9947-1970-0262873-0
  • MathSciNet review: 0262873