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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2019 Volume 483, Pages 116–127 (Mi znsl6849)

This article is cited in 4 papers

A comment on eigenvalues and eigenfunctions of Laplace operator in an angle with Robin boundary conditions

M. A. Lyalinov

Saint Petersburg State University

Abstract: The eigenvalues and eigenfunctions of the discrete spectrum for Robin Laplacians in an angle are constructively computed by means of the Sommerfeld integral and of the Malyuzhinets functional equations.

Key words and phrases: discrete spectrum, eigenfunctions, Sommerfeld–Malyuzhinets technique.

UDC: 517

Received: 21.10.2019



© Steklov Math. Inst. of RAS, 2024