Add to ORKG© 2015, Pleiades Publishing, Ltd. In this article general solution to the Maxwell equations in spherical coordinates is constructed. The method of expansion of unknown functions into series of spherical harmonics is used. It is shown that the exterior boundary value problems for the Maxwell equations have the unique oriented solutions, and the interior boundary value problems have non-trivial solutions in the case of resonance. Necessary and sufficient solvability conditions of over-determined boundary value problems for the Maxwell equations are found
In this paper, the authors present a method to obtain an infinite number of interior solutions to Ei...
The spherical surface harmonics are convenient functions for representing the distribution of geophy...
This thesis deals with solutions to Laplace's equation in 3D, finding new relationships between solu...
© 2015, Pleiades Publishing, Ltd. In this article general solution to the Maxwell equations in spher...
It is noted that the known solution for a spherical electromagnetic wave does not satisfy the law of...
The necessary and sufficient conditions of solvability of the over-determined problems for the Maxwe...
A general technique for solving Maxwell's equations exactly, based on expansion of the solution in a...
A scalar field method to obtain transverse solutions of the vector Laplace and Helmholtz equations i...
We develop a solution theory for a generalized electro-magneto static Maxwell system in an exterior ...
We present a systematic analysis of the integral operators of potential theory that arise when solvi...
This paper is devoted to extend the spherical harmonics technique to the solution of parabolic diffe...
A study of the quantitative solutional approaches to boundary-value problems associated with terrest...
There are many important problems related to spherical domains. Most common examples would be the Ea...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/15...
© 2018, Pleiades Publishing, Ltd. The over-determined boundary value problem method is extended to s...
In this paper, the authors present a method to obtain an infinite number of interior solutions to Ei...
The spherical surface harmonics are convenient functions for representing the distribution of geophy...
This thesis deals with solutions to Laplace's equation in 3D, finding new relationships between solu...
© 2015, Pleiades Publishing, Ltd. In this article general solution to the Maxwell equations in spher...
It is noted that the known solution for a spherical electromagnetic wave does not satisfy the law of...
The necessary and sufficient conditions of solvability of the over-determined problems for the Maxwe...
A general technique for solving Maxwell's equations exactly, based on expansion of the solution in a...
A scalar field method to obtain transverse solutions of the vector Laplace and Helmholtz equations i...
We develop a solution theory for a generalized electro-magneto static Maxwell system in an exterior ...
We present a systematic analysis of the integral operators of potential theory that arise when solvi...
This paper is devoted to extend the spherical harmonics technique to the solution of parabolic diffe...
A study of the quantitative solutional approaches to boundary-value problems associated with terrest...
There are many important problems related to spherical domains. Most common examples would be the Ea...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/15...
© 2018, Pleiades Publishing, Ltd. The over-determined boundary value problem method is extended to s...
In this paper, the authors present a method to obtain an infinite number of interior solutions to Ei...
The spherical surface harmonics are convenient functions for representing the distribution of geophy...
This thesis deals with solutions to Laplace's equation in 3D, finding new relationships between solu...