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. 3–12DOI 10.4171/ZAA/865