JournalsprimsVol. 26, No. 5pp. 803–817

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
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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.

Cite this article

Alessandro Teta, Quadratic Forms for Singular Perturbations of the Laplacian. Publ. Res. Inst. Math. Sci. 26 (1990), no. 5, pp. 803–817

DOI 10.2977/PRIMS/1195170735