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The Second-Order Leibniz rule

In: Operator Relations Characterizing Derivatives

Author

Listed:
  • Hermann König

    (Universität Kiel, Mathematisches Seminar)

  • Vitali Milman

    (University of Tel Aviv, School of Mathematical Sciences)

Abstract

In the previous chapters we investigated the solutions and the stability properties of the Leibniz and the chain rule operator equations. These equations formalized properties of the first derivative of a function. In this and the next chapter we study equations which are motivated by identities for the second derivative. One of our goals is to find simple properties which characterize the Laplacian.

Suggested Citation

  • Hermann König & Vitali Milman, 2018. "The Second-Order Leibniz rule," Springer Books, in: Operator Relations Characterizing Derivatives, chapter 0, pages 113-139, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-00241-1_7
    DOI: 10.1007/978-3-030-00241-1_7
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