Regular Potential Approximation for $\delta$-Perturbation Supported by Curve of the Laplace-Beltrami Operator on the Sphere

D.A. Eremin; D.A. Ivanov; Igor Yu. Popov

doi:10.4171/zaa/1451

Regular Potential Approximation for $δ$ -Perturbation Supported by Curve of the Laplace-Beltrami Operator on the Sphere

D.A. Eremin
Mordovian State University, Saransk, Russian Federation
D.A. Ivanov
Mordovian State University, Saransk, Russian Federation
Igor Yu. Popov
St. Petersburg National Research University of Information Technologies, Mechanics and Optics, Russian Federation

$Regular Potential Approximation for $\delta$-Perturbation Supported by Curve of the Laplace-Beltrami Operator on the Sphere cover$

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Abstract

Operator extension theory model for $δ$ -perturbation supported by curve of the Laplace–Beltrami operator on the sphere is described. The sequence of operators with regular potentials converging to the model operator in norm resolvent sense is constructed.

Cite this article

D.A. Eremin, D.A. Ivanov, Igor Yu. Popov, Regular Potential Approximation for $δ$ -Perturbation Supported by Curve of the Laplace-Beltrami Operator on the Sphere. Z. Anal. Anwend. 31 (2012), no. 2, pp. 125–137

DOI 10.4171/ZAA/1451