Quadratic Forms for Singular Perturbations of the Laplacian

Abstract

Singular perturbations of — Δ in L2(R3) 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. © 1990, Research Institute forMathematical Sciences. All rights reserved.