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A simple counterexample related to the Lie-Trotter product formula

Analysis of PDEs 2011-03-28 v1

Abstract

In this note a very simple example is given which shows that if the sum of two semigroup generators is itself a generator, the generated semigroup in general can not be rapresented by the Lie-Trotter product formula.

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Cite

@article{arxiv.1103.4997,
  title  = {A simple counterexample related to the Lie-Trotter product formula},
  author = {Claudia Canzi and Graziano Guerra},
  journal= {arXiv preprint arXiv:1103.4997},
  year   = {2011}
}

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7 pages