Finding Eigenvalues and Eigenfunctions of the Zaremba Problem for the Circle
Скачать файл:
URI (для ссылок/цитирований):
https://link.springer.com/content/pdf/10.1007%2Fs11785-016-0603-y.pdfhttps://elib.sfu-kras.ru/handle/2311/69959
Дата:
2017-04Журнал:
Complex Analysis and Operator TheoryКвартиль журнала в Scopus:
Q2Квартиль журнала в Web of Science:
Q3Библиографическое описание:
Laptev, A. Finding Eigenvalues and Eigenfunctions of the Zaremba Problem for the Circle [Текст] / A. Laptev, A. S. Peicheva, A. A. Shlapunov (Шлапунов Александр Анатольевич) // Complex Analysis and Operator Theory. — 2017. — Т. 11 (№ 4). — С. 895-926Аннотация:
We consider Zaremba type boundary value problem for the Laplace operator
in the unit circle on the complex plane. Using the theorem on the exponential
representation for solutions to equations with constant coefficients we indicate a way
to find eigenvalues of the problem and to construct its eigenfunctions.