JournalsprimsVol. 26 , No. 5DOI 10.2977/prims/1195170735

Quadratic Forms for Singular Perturbations of the Laplacian

  • Alessandro Teta

    Università di Roma La Sapienza, Italy
Quadratic Forms for Singular Perturbations of the Laplacian cover

Abstract

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.