This article is cited in 3 papers

Exact asymptotics of the spectrum of a boundary value problem, and periodic billiards

Yu. G. Safarov


Abstract: A two-term asymptotic formula for the distribution function of the eigenvalues of an elliptic boundary value problem is derived. In contrast to previous work, it is not assumed that the set of points from which the periodic billiard trajectories emanate has measure zero.
Bibliography: 21 titles.

UDC: 517.956.227

MSC: 58G25

Received: 15.01.1987

 English version: Mathematics of the USSR-Izvestiya, 1989, 33:3, 553–573

Bibliographic databases:

• 
•