Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590276 | Journal of Functional Analysis | 2013 | 21 Pages |
Abstract
By Birman and Skvortsov it is known that if Ω is a planar curvilinear polygon with n non-convex corners then the Laplace operator with domain H2(Ω)â©H01(Ω) is a closed symmetric operator with deficiency indices (n,n). Here we provide a KreÄn-type resolvent formula for any self-adjoint extensions of such an operator, i.e. for the set of self-adjoint non-Friedrichs Dirichlet Laplacians on Ω, and show that any element in this set is the norm resolvent limit of a suitable sequence of Friedrichs-Dirichlet Laplacians with n point interactions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Andrea Posilicano,