"2003 Colloquium on Differential Equations and Applications,
Maracaibo, Venezuela.
Electronic Journal of Differential Equations,
Conference 13, 2005, pp. 95-99.
Title: Solution of a spectral problem for the curl operator
on a cylinder
Authors: Romen Saks (Bashkir State Univ., Ufa, Russia)
Carmen Judith Vanegas (Univ. Simon Bolivar, Miranda, Venezuela)
Abstract:
In this work, we give method to construct an explicit
solutions to one spectral problem
with the curl operator on a bounded cylinder.
The eigen-values of this operator are square roots of
eigen-values of Laplace operator (with Dirichlet boundary
condition) and zero.
The eigen-functions related to this problem are found using
some results from complex analysis.
Published May 30, 2005.
Math Subject Classifications: 35P05, 35J25, 35J55.
Key Words: Spectral theory; partial differential operators;
boundary value problems; elliptic equations.