A Note on Convergence of Level Sets

  • Fabio Camilli

    Università di Roma La Sapienza, Italy


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

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