On a nonclassical boundary value problem for the Helmholtz equation
Authors
Valeriy Valentinovich Karachik
Южно-Уральский государственный университет
Keywords:
Helmholtz equation, generalized Neumann problem, eigenvalues, normal derivatives
Abstract
A boundary value problem for the Helmholtz equation in the unit ball, having high-order normal derivatives in the boundary conditions is considered. The theorem of necessary and sufficient solvability conditions of this problem is proved.
Author Biography
Valeriy Valentinovich Karachik, Южно-Уральский государственный университет
Dr. Sc. (Physics and Mathematics), Professor, Mathematical and Functional Analysis Department
