Open AccessQuadratic Forms for Singular Perturbations of the Laplacian
Author(s) -
Alessandro Teta
Publication year - 1990
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195170735
Subject(s) - mathematics , laplace operator , quadratic equation , pure mathematics , mathematical analysis , geometry
Singular perturbations of -Δ in L 2 (R 3 ) supported by points, regular curves an 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
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