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Lie derivatives and Lipschitz contants

  1. Jan 29, 2013 #1
    Hello all,

    I have a problem with an inequality.


    Is the following proof valid?


    from which, taking the norm to both sides yields


    where L is the Lipschitz constant of f w.r.t. x.
    Thus, can I conclude that


    Is it correct?

    Thanks :)
  2. jcsd
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