B. N. Biyarov, “On Volterra relatively compact perturbations of the Laplace operator”, Eurasian Math. J., 2014, том 5, номер 1,страницы 135

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

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

Ключевые слова и фразы: Laplace operator, Volterra operator, correct restrictions of the maximal operator, correct extensions of the minimal operator, relatively compact perturbations.

MSC: 35P05, 58J50

Поступила в редакцию: 10.02.2014

Язык публикации: английский