Stability and Rigidity of the Leibniz and the Chain Rules

Hermann König and Vitali Milman
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Hermann König: Universität Kiel, Mathematisches Seminar
Vitali Milman: University of Tel Aviv, School of Mathematical Sciences

Chapter Chapter 5 in Operator Relations Characterizing Derivatives, 2018, pp 75-90 from Springer

Abstract: 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.

Date: 2018
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DOI: 10.1007/978-3-030-00241-1_5

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