JournalszaaVol. 18, No. 1pp. 3–12

A Note on Convergence of Level Sets

  • Fabio Camilli

    Università di Roma La Sapienza, Italy
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Abstract

Given a sequence of functions fnf_n converging in some topology to a function ff, in general the 0-level set of fnf_n does not give a good approximation of the one of gg. In this paper we show that, if we consider an appropriate perturbation of the 0-level set of fnf_n, we get a sequence of sets converging to the 0-level set of ff, where the type of set convergence depends on the type of convergence of fnf_n to ff.

Cite this article

Fabio Camilli, A Note on Convergence of Level Sets. Z. Anal. Anwend. 18 (1999), no. 1, pp. 3–12

DOI 10.4171/ZAA/865