Topological monsters in elliptic equations and spectral theory
Daniel Peralta-Salas
Consejo Superior de Investigaciones Científicas, Madrid, SpainAlberto Enciso
Consejo Superior de Investigaciones Científicas, Madrid, Spain
Abstract
In this paper we will discuss the appearance of complicated geometric and topological structures through the level sets of solutions to a wide range of elliptic equations. Applications to the analysis of nodal sets of eigenfunctions of Schrödinger operators will be discussed too.
Cite this article
Daniel Peralta-Salas, Alberto Enciso, Topological monsters in elliptic equations and spectral theory. EMS Surv. Math. Sci. 3 (2016), no. 1, pp. 107–130
DOI 10.4171/EMSS/15