Short communications

On Volterra relatively compact perturbations of the Laplace operator

B. N. Biyarov

Faculty of Mechanics and Mathematics, L. N. Gumilyov Eurasian National University, 2 Mirzoyan St., 010008 Astana, Kazakhstan

Abstract: We formulate the result on existence of a relatively compact perturbation of the Laplace operator which possesses the Volterra property.

Keywords and phrases: Laplace operator, Volterra operator, correct restrictions of the maximal operator, correct extensions of the minimal operator, relatively compact perturbations.

MSC: 35P05, 58J50

Received: 10.02.2014

Language: English