"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.