Quadratic Forms for Singular Perturbations of the Laplacian
Alessandro Teta · Publications of the Research Institute for Mathematical Sciences · 1990
Singular perturbations of — Δ in _L_2(_R_3) supported by points, regular curves and regular surfaces are considered. Using a renormalization technique the corresponding quadratic forms are constructed and a complete characterization of the domain and the action of the operators is given, together with explicit expressions for the resolvent.