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Stability and Rigidity of the Leibniz and the Chain Rules

In: Operator Relations Characterizing Derivatives

Author

Listed:
  • Hermann König

    (Universität Kiel, Mathematisches Seminar)

  • Vitali Milman

    (University of Tel Aviv, School of Mathematical Sciences)

Abstract

Equations modeling physical and mathematical phenomena should preferably be stable: reasonable perturbations of the equations should have solutions which are controlled perturbations of the solutions of the unperturbed equations. Even stronger, they may be rigid: this occurs if the perturbed equations turn out to have the same solutions as the unperturbed equations, so that these equations allow no reasonable perturbation.

Suggested Citation

  • Hermann König & Vitali Milman, 2018. "Stability and Rigidity of the Leibniz and the Chain Rules," Springer Books, in: Operator Relations Characterizing Derivatives, chapter 0, pages 75-90, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-00241-1_5
    DOI: 10.1007/978-3-030-00241-1_5
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